I am non-denominational. I will even perform Wicca ceremonies. I'd have to brush up a bit on that. It would be an interesting thing to do indeed. Orientation doesn't matter,either, but that is a matter for the State to decide if it's recognized legally. I'd do the ceremony just the same, though.
I do have my limits. I won't marry you to animals. And before you laugh, someone approached me about that several years ago. I don't know if he was just messing with me or serious. Either way, that's a no-go for me. But, just so you'll know, I don't have any contacts for wedding venues. It is your responsibility to secure a location for the wedding. If you don't have one, it will have to be in a public place, such as a park. Most churches will not let me as I am not a member of any congregation.