You did a great job of not arguing with her when she said she thought you just wanted to have sex with her.
I don't want to try to mind read, but I wonder whether she really means that. What a weird thing to say, when she is moving out of your house. ??
In any event, that was good that you kept your distance - you are doing what she has asked, and she certainly can't claim you just wanted to have sex with her.
Keep up the good work!
me: 44 XH: 42 M 11 years D10 and S8 Bomb drop 9/27/13 D final 7/1/14