So that manga was in my bookmark but i can't find it anymore ...
Back when i first read it, there only about 20 chapter so i think the manga is quite new.
Its have the begin kinda like Kyo, there a girl (blonde/brown hair) go to a village where the a rumor about a demon with claw and she end up met a pervert boy that could do anything for money,(short black hair wearing traditional clothes).
The girl's dream is to become a doctor to save people, she got tricked into a trap and the main come to the rescuse as usual and revealed that he is the monster they always talked about, the claw was reference for his way of using sword, like holding 6 7 8 swords at a times.
There a speacial on the boy hand, its acctually not his hand and at some serval chapter later he said he want to find out the "owner" at the hot spring with the girl
He is a member of a group that almost look like an assassin group for me