I genuinely need advice, so I hope I don't come off as a narcissist trying to flex. Anyway, I am very visibly very gay and I get approached by women when I'm out with my gf. For instance, I was watching a ball at the gay bar last weekend and—despite literally having my hand on my gf's thigh—a woman approached me and said, "I just want to let you know, you are sooooo pretty". A similar incident happened while we were grocery shopping recently. Responding in these situations is hard for me.

Thankfully, my gf enjoys this and I find it flattering too. But I don't know what to do besides say "thank you" or return a platonic compliment. I always feel guilty because I know how hard it is for sapphic folks to make a move, so I don't want to give such a disappointing, useless lesbian response. To make things even more complicated, we're in a non-monogamous relationship so it's not like the attention is unwelcome. I'm just not interested in flirting with other women when I'm with my partner, especially when we're on a date.

How can I reply so that it's obvious that I'm flattered and see their intention, but that now is not a good time? In other words, is there a socially acceptable way to say, "I'm gay for you too and I'm poly, but I'm currently on a date so please remember me and approach me again when better circumstances arise"? If there's no quick way to say that, then is it possible to not respond like a useless lesbian? Or do I just give up and accept that I'm going to disappoint queer women?