Infection

Hi random but I cannot get doctors appts easily with everything going on so I thought I’d ask for advice here. I ripped my nail but my false nail is still attached. Best way I can explain it is 3/4 of the nail width ways ripped my real nail off. As I couldn’t get it off I’ve been soaking it in salt water and antiseptic cream but it’s green and gunky now and so swollen. I tried using dettol but it’s still gross. Idk what to do.. I really don’t wanna have to get my whole nail removed lol. What would U do