For me it shouldn't be the least bit surprising that people who are very orthodox would not want to keep hearing about other people's sex life(s)? I think that may be part of the Ann's dysfunction that people need to rub this in your face ever so constantly... she is at the very least a prude.
I had a family member that was staunchly anti-sex ("Men only want sex!", etc) after poor experiences with those topics growing up. They were alone and vastly unaware of the joys of the human touch and that humans can have good outcomes romantically.
I think anyone who is repressed, they're not going to be a fan of the subject and anything that rebukes their sterile/innocent-minded perception of how human beings should behave will rub them the wrong way.
I don't think Ann's problem is just with homosexuality, but with human contact and the concept of a healthy happy romantic relationship in general. She can't see past people's more selfish/baser motivators... she likely thinks it will always lead to sin in one form or other, and that things like even dancing can lead someone astray in a major way. Some Baptists are like this and that simple things like trying to get them to open up about their feelings or to dance, even sing would make them feel far too vulnerable... being in those situations are quite uncomfortable for them I think.