I recently got my wisdom tooth pulled & was given amoxicillin. a few days later i noticed that my clit hood got swollen is it an allergic reaction?

Probably not: If just your clitoris became swollen, and there were no itchy hives or significant rash, i think it unlikely that an allergic reaction occurred, especially if that is the only symptom. Put some cool compresses on the area and see if the problem resolves.

Unlikely: The most common symptom of a drug rash, particularly to amoxicillin, is a rash that starts out on the trunk and spreads to the arms and legs. This typically occurs a few days into a course of amoxicillin, rather than in response to a single dose. If the swelling doesn't go away in a day or two, you should get examined by your physician or gynecologist.