I forgot to do this while LGBTQ+ pride month was still going on, but here are my LGBTQ+ headcanons for all of my f/os (as of now). I'll specify if something is canon, as well.
Empress, ace at least, aroace at most (still deciding). Creatures are not sexual creatures at all. And she is more focused on taking down its targets than anything else. And with her targets out of the way (James and Kate won and escaped but Empress somehow came back. She survived so much gunshot from two uzis and a few grenades to the eyes. I think she can handle getting knocked out by an oncoming train. Just unconcious for a long time.
Mukago, bisexual. I always loved the ships of her and the other lower moons, all of which are men.
N Gin (au not dependant) is a disaster bi. If you played any of the games, you know how smitten he is with Cortex despite all the man put him through. And he was still smitten when he saw a woman... who was actually Cortex in disguise. The dude's a walking disaster through and through as well.
Nic is a lesbian. The only ship I've seen her that's legal is with Fiona the Fox. Plus she never gave me the vibe that she was into men.
Oswald, it depends on the version of the character. DCAU gives me straight ally vibes but I also wouldn't put it past him if he actually was bi or anything more. Plus, I'm genderfluid so he's automatically queer. And I've seen so many headcanons of him being like a Stonewall-era or earlier gay man and I'm all for that take. Returns DEFINITELY BI OR PAN! Dude was so into women that I wouldn't be surprised if he was into some kind of man too. Bro has definitely smashed all of his gang members at least once. Also a walking disaster, just like N Gin. And 04 Ozzy is Bisexual and Polyamerous. With how he flirts with the Kabuki Twins and Catwoman, dude likes having multiple partners. Also I like seeing art of him and 04 Riddler and I like.
Peri and Gale (The Kabuki Twins), bi. They're with Penguin. They're with me. What more can I say?
Reala, canonically Agender. I also see them as asexual as, like Empress with Creatures, Nightmaren aren't sexual entities. I see them as wither aromantic or cupioromantic.
Zavok is definitely not straight, I'll give you that much. I've seen too much gay art and takes of him with Zazz or Vector. That man conquers both sides of the battlefield. However, he seems like the kind of person to be focused on a legacy to pass on, whether it be for potential heirs or students, doesn't matter to him.