I really enjoyed this game. I also really like your concept. Not only creating a gatcha game without micro transactions, but a gay game at that. It really scratches that gatcha itch. Also OH THANK GOD a gay game that's not another visual novel. I love the character designs (except for vag arm guy, that one weirds me out) and character art. I wasn't a fan of the battle sprites at first but they did grow on me to some extent. The summon animation is awesome too! I really loved the item that increases a character's rarity too, that was a SPECTACULAR idea.

In terms of more critical feedback:

The game desperately needs more content. It's extremely hard and grindy so there's a decent amount of play TIME but very little actual content to go through. Also, if we're going to go gatcha I think it needs a LOT more characters to really make it really feel exciting when you get a new one you like (I got all the characters in a day). It drastically needs a proper story mode or some way to interact with your characters too. 

There is a LOT of tonal dissonance in the game. The design of the main character seems so out of place compared to the others and the combat sprites are a bit off-putting compared to the gorgeous character art. The tone of the writing is so... distracting. It's hard to explain, but I do feel like the Lord of the Rings parodying actually detracts from the game rather than adds to it and just doesn't jive well with the more... adult references and it just feels like it's trying too hard to be both a parody and a game in its own right.

All in all I think you have something REALLY special here and I love where you're going with it. There is definitely plenty of room for expansion and improvement but you have SUCH a solid foundation to work with. I really hope you continue to develop this game, because it is this sort of game the genre and gaymers like me really need.