I don't know how your insurance works, but they might not pull it tomorrow- even if it isn't infected.
I cracked my wisdom tooth 2 wks ago and I'm getting it out Thurs afternoon. The reason is because I needed to first make an appt to see the dentist (which was the next day after it cracked) and then I had to make an apt to see the oral surgeon to get it done thursday.
They have to go over the procedure with you first. For example, if you opt for gas instead of novocaine, thre is a specific procedure you need to follow (including having someone drive you in). And a lot of insurance companies need a referral before an oral surgeon pulls the tooth.
So more likely than not, unless it's an emergency, they won't pull it tomorrow - they'll give you something for the pain and schedule you for another time.
Good luck