I am having lipo surgery today and woke up with a mild sore throat. Will this affect my surgery?

Dear Ms. Biancao,
Thank you for your information and questions.
I would definitely contact both your Plastic Surgeon and Anesthiologist ASAP. 
"Colds" and “sore throats” are in are usually viral in origin there are not treated with antibiotics. 
Since you are undergoing a elective cosmetic surgical procedure you should be in optimal condition. While a “sore throat” per sae will not affect the technical portion of your surgery it may affect your recovery. 
Therefore I would most likely advising postpone your surgery until fully recovered and in normal health. 
I suggest:
1) plenty of rest
2) plenty of fluids
3) hand washing
4) consider wearing a surgical mask
5) no cross contamination ie eating or drinking from same containers
While certainly disappointing to postpone due to illness, however your safety and long term result would well be worth the wait. 
I trust you have chosen a Plastic Surgeon who is experienced and Certified by the American Board of Plastic Surgery. In addition ideally a members of the American Society for Aesthetic Plastic Surgery (denoting by membership as having met additional criteria and a focus on Cosmetic Plastic Surgery).
I wish you my best and success,
R. A. Hardesty, MD, FACS
Diplomate and Certified by the Am. Bd. of Plastic Surgery
Awardee: RealSelf 100
wwwimagineplasticsurgery.com
4646 Brockton Ave
Riverside, Ca 92506
(951) 686-7600

You need to contact your doctor and ask them. If you are just have sedation I cannot imagine it making a difference. If you are going to sleep  you might want to wait.

I recommend telling your surgeon so they can help you make a decision as to whether you should go forward with your treatment. You have swelling, which can last 3-6 months after your procedure. I recommend adding hyperbaric oxygen and lymphatic massage along with your compression to help decrease swelling. To improve your final results, I also recommend adding vanquish for further fat removal, exilis/venus legacy for skin tightening, cellutone/z wave to make the skin smooth, remove scar tissue, and improve the skin’s appearance. See an expert. Best, Dr. Emer