We know from the Gospel accounts, Peter was not a perfect person. Presumably Aeneas and Tabitha were not perfect either. Healing does not seem to depend upon our perfection, but on God's.
For reflection: Have I not asked for healing for myself because I didn't think I deserved it? Have I not prayed with someone else for their healing because I didn't think I was good enough?
Let us pray. Father, I thank you that Jesus prayed for me before I ever heard of him. I thank you that Jesus died for me when I could never deserve such a sacrifice. I thank you that in your great goodness and your perfection you remember me every day whether I remember you or not.
I thank you that others have prayed for me too. Now I offer myself to pray for others as you lead me to do so.