Well, I cannot Speak for All Greeks, LXA does accept on a Internation Level, I should know, One of My Best Friends and Brothers is.
While He is from a different Chapter, it makes no matter.
As was said in above Posts check it out.
You as an Individual have to go where You feel Welcome and at Home.
I have had Gay Brothers and it never Bothered Me one iota.
You as an idividual have to come to grips with your Feelings first.