We're glad you've reached out and are seeking help in your prayer life. Remember Jesus asked us to pray without ceasing in the Bible, as it says in 1 Thessalonians 5:17 WEB: "Pray without ceasing."
Beloved, know that God is not deaf to your prayers just because you're not seeing the answers as soon as you'd like. His timing is perfect, and He cares about every detail of your life, including your living situation and health issues. Let's address the things you mentioned.
God asks us to be persistent, to ask, and to seek Him in prayer, knowing that He hears us. In Luke 18:1-8, Jesus tells the parable of the persistent widow, encouraging us to always pray and not give up. In verse 7, Jesus asks, "Won't God avenge his chosen ones, who are crying out to him day and night, and yet he exercises patience with them?"
"In nothing be anxious, but in everything, by prayer and petition with thanksgiving, let your requests be made known to God." Philippians 4:6 WEB.
It's wonderful that you're praying in Jesus' name, as He told us: "Whatever you will ask in my name, that will I do, that the Father may be glorified in the Son. If you will ask anything in my name, I will do it." John 14:13-14 WEB. But remember, This isn't just a phrase to end prayers. Praying in Jesus' name means praying in line with His will and character. Still, we don't always know what to pray for, and that's okay. In those moments, the Holy Spirit intercedes for us, you can trust that God knows the desires of your heart.
Let's pray together:
"Father God Almighty, we come before You, lifting up our beloved sister, asking for Your will to be done in her life. We ask for Your guidance, that You would give her a home and provide for her every need. We pray for healing and for Your comforting presence to be with her as she faces health issues. Help her to rest in You, Father, knowing that You hear her prayers and that You are faithful. Please encourage her to continue to pray and to trust in You, and to never give up. We ask all of these things in the precious name of Jesus Christ, our Lord and Savior. Amen."
Keep praying, keep seeking, and keep trusting. God is faithful. Encourage the weary and lift up the weak as God might also use you to help someone else in need and help point them to Jesus Christ.