I started it last night and I can't for the life of me remember what the name of it was or get it from accessing my browser history - story about a minor God who dreams of being successful and revered but is mostly a homeless guy who does odd jobs because nothing big comes his way - has an underling who can turn into a weapon for him to banish ayakishi - which are like symptoms of human negativity. He's also saddled with a girl who leapt in front of a bus to try and save him, but now is sorta half-dead in that her soul slips out of her body very easily and has a tail in her soul form.

That's basically the gist of the thing, it's probably specific enough that you can't actually mistake it for something else. Could anyone point me towards it? I was really getting into it but I must have forgotten to add it to my Reading List because I can't see it there at all.

i don't know the manga name but i interest in it
if you find the name could you tell me the name??

That's definitely Noragami

Confirmed, that's it. Thanks a lot!