If the Dentist packs the tooth socket well & you don't suck on a straw or smoke then you won't have to worry about a dry socket.
It depends on where your tooth is located as to who will pull it. My roots grew in at a 90 degree angle & they used to pull them on sight anyways but now they send you to an oral surgeon. My guess is that your roots are normal.
If you do pull it, the pain will go away immediately. Especially the pressure you are feeling & your glands will feel fine. You still need an antibiotic. that is why I suggested garlic oil pills. Although you may still have a sore throat.
I am not familiar with implants. I have upper dentures now & seven teeth on my lower jaw.
I think your tooth is botched. No turning back now but that is just me & my experience with my teeth & my hubby's.
I cared for my teeth diligently & still lost them.:( It is inherited. Sometimes it is poor dentistry though.
Live simply. Love generously. Care deeply. Speak kindly. Leave the rest to God.