That's a tricky one. Since it's inflamed, and that of course is a sign it's infected, I would get it off, however I could, probably with very small scissors with a sharp point, like cuticle scissors. It will leave a wound, which hopefully would respond to simple cleansing and something like Neosporin ointment. Don't use an ointment or cream with a "caine" drug such as cetacaine, benzocaine, etc.
Sometimes people remove things like an extra toe by tying a string around it and leaving it til the finger dies and falls off. I've never seen this done and don't know how often it goes well. The inflammation indicates to me this will need more aggressive care.