The dentist may still be able to pull the horizontal ones, if you'd rather do it that way. My second one was completely horizontal and impacted into my jaw, but my dentist likes a challenge and I swore to him I wouldn't freak out being conscious. It took a long time and felt like my whole face was being pulled off, but with the novacaine shots you don't feel any sort of pain. If you're not bothered or grossed out, it's not a big deal. The pulling of the tooth was far worse than my straight one because he had to do a lot of drilling and cracking to break it from the jaw (whilst I was awake), but with this one he gave me one suture which helped a lot in the end. The straight tooth he just pulled and left open, so I basically had a dry socket for a long time. It itched more than it hurt and took forever to heal, bled for several weeks. The impacted tooth he put in a stitch and I think that helped it start heeling immediately. No pain or itching at all, and I never took prescription meds, just some Tylenol for a day or two because of the headache from being held in a headlock for 15 minutes.
I'm glad I did them both this way. I observed what most of my friends went through after having them surgically removed and no thank you! Mostly I'm glad I didn't mess with the anesthesia or the Vicodin. A lot of people told me it makes them feel sick and barf. I was able to walk home after my procedures and had to eat soup for four days, could not rinse my mouth for a week, but I never felt groggy or sick. Also, I have this weird fascination with dentistry, so it's kind of cool to be conscious and see what's going on.