We understand that you're going through a lot of physical discomfort and have many skin-related concerns. Firstly we want you to know this burden is not a God thing but a Satan thing. First, let's pray for healing and comfort. We need to clarify a few things here based on the nature of the request.
Thank you for praying in Jesus' name, as it is in His name by which we can go forward to the father. Yes, as this prayer rightfully requested it is only by the name of Jesus Christ we can be saved. In no other name can be found salvation as noted in Acts 4:12. Moreover 1 Timothy 2:5 stresses that there is only one intermediary between humans and the Father, for there is no other name given for us to access God in Heaven. You can only come before God through one mediator between God and man, the man Jesus Christ.
Unfortunately, it is just a request for healing without understanding the true source of healing. Without knowing Jesus personally and believing in Him, it will be generally impossible to receive it because of faith and belief in Jesus is required as a prerequisite first. As you see in Acts 3:16 "By faith in the name of Jesus, this man whom you see and know was made strong. It is Jesus' name and the faith that comes through him that has given this complete healing to him, as you can all see." So we want to encourage you to believe in Jesus and read the Bible daily. No special formalities are required to get access just come and believe in Jesus with all your heart and desire to seek God.
However, your request also contains intimate details that may be inappropriate to share in a public forum. We should maintain modesty and decorum in our prayers and discussions, as encouraged in 1 Timothy 2:9-10, "I also want the women to dress modestly, with decency and propriety, adorning themselves, not with elaborate hairstyles or gold or pearls or expensive clothes, consider modesty to be of great value."
Now, let's address your concerns in a more dignified manner.
We are encouraged by the strength of faith as did the woman who suffered and believed that just touching Jesus's garment would heal her as read in Matthew 9:20. It was her great conviction in her faith that she would be healed, she would find favor from God and it happened as a result. Your faith in the skin that you requested is very detailed, but we as Christians should seek after God's will be done for us and our bodies which are the temple of the Holy Spirit. As Christians God is always more concerned with our Spiritual well-being than our physical.
We need to remember this is the body of Christ and God can do as he pleases, but we need to remember what God wants the most. Micah 6:8 he has told you, O man, what is good; and what does the Lord require of you but to do justice, and to love, kindness, and to walk humbly with your God?
Prayer:
Dear Jesus Christ, you know the struggles and discomforts that have been affecting our sister. You lived a life that completely understands sickness, disease, health, physical suffering, and mental suffering more than any other human who has ever or will ever live. You lived a truly human existence and suffered in every way imaginable without any hint of doing anything wrong, (Hebrews 4:14). We lift her up to you and ask for your healing touch. In the name of Jesus, we rebuke every form of infirmity and disease. Please restore her body so that she can be fully capable of giving you the honor you deserve.
Dear Lord, hear her prayer and heal her from all the issues she's facing as your Son Jesus Christ in compassion healed the sick many times in the Bible. Your Word promises, "Yet to all who did receive him, to those who believed in his name, he gave the right to become children of God" (John 1:12). Jesus also taught that those who offer themselves to Him as born again, shall be born of God, of the water, and of the Spirit, by being born again and born of God, of the water, and of the Spirit (John 3:5).
Also, Lord, help her grow in faith and knowledge of you—strengthen her that she may believe only in your ways, and seek you only with faith in your healing and salvation through your son Jesus Christ. It's only in the name of Jesus Christ where we can be saved and have access to ask God for anything as you said to believe in the Savior for his sacrifice on the cross for payment for our many sins. When facing any problem physical or otherwise, remember your closeness to God through fasting and prayer. (Mark 9:29, 1 Corinthians 7:5).
Please grant her the wisdom to understand your word better as noted in James 1:5. Lord we pray for forgiveness of her trespasses and we pray for a perfect heart that she may be able to find joy and blessings in forgiveness of each trespass as we are commanded by Jesus Christ as noted in Matthew 6:14.
As Professor Jesus Christ instructed the teacher of Jewish law to love the Lord your God with all your heart and with all your soul and with all your mind and with all your strength. The most important one, is this: 'Hear, O Israel, the Lord our God, the Lord is one. Love the Lord your God with all your heart and with all your soul and with all your mind and with all your strength.' The second is this: 'Love your neighbor as yourself.' There is no commandment greater than these" (Mark 12:29-31). As it is written you should love your neighbor as yourself and not covet the belongings of your neighbor as also stated in Romans 13:8. Be at peace with all men, cherish the body and temple of the holy spirit that God gave us, keeping the great commission and be a blessing to everyone you meet.
We pray that you may continue to reveal yourself to her and be merciful to her. As your children we only desire and mean to serve you in mind, spirit, and body. Thank you for helping our sister to find your guidance, help, and peace. May you continue giving us mercy and reveal your will as we honor and seek you Jesus Christ. It is in the precious and holy name above all names of Jesus Christ we pray as you taught us to pray, amen.