Will I survive? Back crown broken off at gum line. Only build up is showing.

So this tooth has ached for months and I will call a new dentist Tuesday. Never had a root canal when they put the crown on, which broke off in July and I can feel this metal thing. It’s smooth, not sharp. It isn’t my wisdom tooth; had that extracted decades ago. So will he put pliers under the gum and twist it and pull or what? Should I call a gum specialist instead? (periodontist)