I don't know - many/most of them are Catholic, and their religious "leader" (Pope) insists that queer is good.
Their religious heritage from Armenia is overwhelmingly Orthodox. The Armenia-Americans I've known are Armenian Orthodox. According to Wikipedia:
Religion in Armenia (2011 census)
Armenian Apostolic Church (92.5%) (Orthodox)
Other Christian (2.3%)
Yazidism (0.8%)
Other (0.4%)
None (4.0%)
As of 2011, most Armenians in Armenia are Christians (97%) and are members of the Armenian Apostolic Church, which is one of the oldest Christian churches. It was founded in the 1st century AD, and in 301 AD became the first branch of Christianity to become a state religion.