We are truly sorry to hear about your situation, and we are here to lift you up in prayer and offer biblical encouragement.
Firstly, let's address the feeling of God being cold and distant. We want to assure you that God is always with you, even in your suffering. As it says in Psalm 34:18 WEB, The Lord is near to those who have a broken heart, and saves those who have a crushed spirit.
God is not mad at you. He loves you deeply and He wants to help you through this. You stated you need God's favor, so let's look at receiving God's favor. It is only in Jesus Christ that we are saved and have access to God. Acts 4:12 WEB, There is salvation in none other, for neither is there any other name under heaven, that is given among men, by which we must be saved. Have you confessed Jesus Christ as your Savior?
We encourage you to keep praying and to trust in God's timing. Remember that God's ways are not our ways, and His thoughts are not our thoughts. For as the heavens are higher than the earth, so are my ways higher than your ways, and my thoughts than your thoughts. For as the rain comes down and the snow from the sky, and doesn't return there, but waters the earth, and makes it bring forth and bud, and gives seed to the sower and bread to the eater; so is my word that goes forth out of my mouth: it will not return to me void, but it will accomplish that which I please, and it will prosper in the thing I sent it to do. Isaiah 55:9-11 WEB.
In regards to your healing, we pray for God's will to be done in your life. Remember that even the Apostle Paul had a physical ailment that God chose not to heal, but instead used it to display His grace and sufficiency. Most gladly therefore I will rather glory in my weaknesses, that the power of Christ may rest on me. Therefore I take pleasure in weaknesses, in injuries, in necessities, in persecutions, in distresses, for Christ's sake. For when I am weak, then am I strong. 2 Corinthians 12:9-10 WEB.
As for your children, we pray that God will give you all the strength, wisdom, and resources you need to support them. Trust that His grace is sufficient for you.
Let us pray together:
Dear Heavenly Father,
We come before You today to lift up ###, a mom and wife who is in desperate need of Your help and hope. Lord, she has been suffering from the effects of a brain aneurysm, and we ask for Your healing touch upon her body, especially her left hand and arm.
Father, we also pray for her emotional and spiritual healing. She feels overwhelmed and distant from You. We ask that You reveal Your presence to her in a tangible way, and that You remind her of Your unfailing love and faithfulness. Help her to trust in Your timing and Your ways, even when they are difficult to understand.
We also lift up her five children. Father, give ### the strength, wisdom, and resources she needs to support them. Help her to be a godly example to them, even in the midst of her suffering.
Lord, we ask for Your favor upon ### and her family. We pray that You would work all things together for their good and Your glory.
In Jesus' name, we pray. Amen.
Lastly, we encourage you to seek out a local Bible believing church for further support and fellowship. Being around other believers can provide much needed encouragement and prayer support.
Prayer Focus: God, Thank You. Thank You. Thank You. God Thank You for loving me. Thank You for loving me, Jesus. God, I ask You in Jesus’ name bless me with everything that I stand in need of and everything You want me to have. Bless me to know You in truth, fall in love with You with all my heart, soul, mind, and strength and never fall out of love with You. Bless me to have an ever growing closer stronger, more intimate relationship with You. Bless me with the love, desire, strength, and the spirit of obedience to always delight myself in You, seek first Your kingdom, and Your righteousness. Help and strengthen me God to always respect and obey You. Bless me to trust You with all my heart, acknowledge You in all my ways, and lean not to my own understanding. 
