Desperately Looking

heey!! Long request but please help!!
Am looking for a webtoon but for the live of me I can’t seem to remember what’s it’s called maybe you can, I would be a forever great-full at least if you did. Here goes

The story is kinda similar to solo leveling is the sense that the mean Character fights monsters and clears dungeons, but that’s where the similarities end. This main character is trying to get into a high school that trains people into becoming monsterhunters. One day while illegally entering a dungeon he meets a student from this school and saves her. She ends up being rich and becomes his benefactor.
I believe his ultimate goals is to find a cure for his father who is ill and dying. (Btw the his father was ones the best monsterhunter in Korea )

That’s all I remember….oh wait the girl he saves is also part elf.
Now that really all I remember. I really liked it but forgot to bookmark it so if you recognize pleasseeeeeee respond. thx