It all depends if the wisdom tooth (or teeth) are impacted.
If it (or they) are not impacted, the procedure should go relatively quickly with a local anesthetic. My daughter had all 4 wisdom teeth extracted (at an office in Yerushalayim) in less than 10 minutes. Other than a bit of discomfort and pain when the anesthetic wore off, she was fine.
If it (or they) are impacted, they extraction takes longer, and may involve being put to sleep by the dentist. I had this done for the two wisdom teeth I had removed back when I was a teenager.
You really need to consult a dentist/oral surgeon, and not depend on the answers of anonymous posters.