I am probably showing my own biases, and I may very well be projecting. When I read the well-written account of your exchange with the T, I felt judgement coming through. That's just me. Is she being honest with herself about the discomfort of allowing touch between you? My gut instinct says "no way", again I can be so wrong too.

Just didn't want you to beat up on yourself for something that may be an external factor.
Full disclosure here--I am an agnostic who has not had great interactions with Christian based groups (including but not limited to the Catholic church.) I bring my own experiences and biases to the table.