[Nickshu]

Probably not, if the pulp (nerve) was exposed by the fracture then it would be just as painful whether the fractured segment was there or not. (This is assuming the tooth is not root canal treated already?). It sounds like the fracture extends subgingivally (below the gumline) and the gingival (gum) attachment is all that's holding the fractured segment in place.

Stay on a soft diet (obviously) and get to your DDS as soon as you can to have it numbed up and the fractured segment removed. They can then temporize it and assess the prognosis of the tooth (as it whether it's saveable or not).

OTC Advil or Tylenol for any pain until that point. Antibiotics are probably not necessary in the short term.

You're looking at either restoring the tooth with a full coverage crown, which may require surgical crown lengthening first to allow access to the lowest point of the fracture, or extraction of the tooth. Being a second molar, most people do not find that replacement of that tooth is necessary for chewing function, but certainly an implant replacement is an option.

PM me with any questions. (your PPOT resident Periodontist)