Another thread, I've completely missed....
I wouldn't have a problem at all with a lesbian AP or a homosexual AP. In fact we hired a boy last summer who in his words his sexuality was "uncertain" in mine he was very gay. That didn't bother me,...he was a crap AP... that did!
I do agree with ST, I don't want AP's picking up casual partners and bringing them back to my home. For all the obvious reasons and also I take my role of in loco parentis quite seriously and try to give the same advice as I would my own dc. (don't shag on a 1st date, always use a condom etc etc)
Once a partner becomes established then it's totally fine for them to stay, once we've met them, so pretty much what an AP would expect from their own parents. Recently I had an AP who wanted a bloke she'd met on FB to stay the weekend. I refused, she'd never actually met him, she had no idea (and neither did I) of whether he was someone I'd want in my home in front of my children. She wasn't happy, but when I asked her if her parents would allow it, she said of course not...