Skyborn: Sparrow Rising, by Jessica Khoury.
"In the stratified Clandoms, societal roles are dictated by birth: noble raptors rule, while Sparrows like Ellie Meadows are relegated to labor. Haunted by the gargol attack that claimed her parents and inspired by the Goldwing knight who saved her, Ellie defies her agricultural destiny."
"She embarks on a perilous journey to the capital to join the elite Goldwings, navigating a sky filled with predatory monsters and rigid prejudices. Along the way, she unites with a band of fellow outcasts whose hidden pasts force her to redefine the true nature of heroism and justice."
I'm not sure whether it counts as a "gay" novel, since it isn't the focus of the story. But Ellie's rival in the Order of Goldwings starts a romantic relationship with the prince of the Eagle Clan.