There is one, it's just not the easiest to find :]
To make an enby character, just make sure that both of the gender icons are not selected (by not selected, I mean that there shouldn't be a white outline around them both).
(Replying to your comment so more people can see this ^^)
If anyone needs help with finding each cats loved (or hated) gifts, I made a gift guide for every character on the game's wiki around a month ago! You can find character specific ones under each character page, and a more generalized one under every item page :]
The link to the wiki's main page is in the description of the game, but here's one to the item hub page: https://hickoryisles.fandom.com/wiki/Items
lol I love redwoodtail, she's my favorite (I mostly did this just because Nala mentioned it in the disc server hehehe)
I'm gonna keep how to do it vague in case others would like to figure it out on their own, but you have to talk to Redwood at two certain points of the game (one being during your apprenticeship, another later in the game). If you do it right, you'll see that right before you start the wedding she isn't at her usual spot in the log >:) She'll attack you once you find where she is, and the fight begins! (Hint: She couldn't have gotten that far from Californiaclan in such a short time...what area is close by?)
I warn you all in advance, the fight is ridiculously hard for joke purposes. Have fun grinding!