As the Quran says: "Oh, you who believe! Fasting is prescribed to you as it was prescribed to those before you, that you may learn piety and righteousness" [Quran 2:183]
As a non-religious gay I probably wasn't invited anyway. But this kind of thinking is what leads conservatives to so much repression and hate. The idea that the wants and needs of your body are something which the mind must actively fight. That the scratchy, ill-fitting wool sweater of your culture is something that you must keep on at all costs. And it leads to resentment of people who are not under such self-imposed restrictions.
There is a reason in queer culture that 'shadiness' is a bigger sin than anger. Shadiness is what happens when someone represses their true feelings. Those feelings don't go away though, they just resurface in other unexpected and non-adaptive ways.
But, I am not going to try to stop her or make her life difficult with constant needling. Just like you shouldn't stop those who are willing to constrain their own sexuality for the sake of avoiding what they perceive as spiritual pollution, just like Greta is willing to constrain herself to avoid environmental pollution. To each their own, and for some living up according to their idea of honor is a greater comfort than more direct gratification. In time, we all learn something valuable even from those we don't agree with.
Can we however agree that America and other countries that embraced Western culture are great because you can live your life as you want and observant Muslims can live their lives as they want?