My facial skin is very sensitive -- can I have Botox in my face? (Photo)

You may have some reaction from the injection site. Done swelling, redness even bruising, all of which will go away rapidly. 

Thank you for your question. Absolutely, you may have Botox :-)
It will help to provide you with a more refreshed and relaxed countenance with lifting the heaviness of the brows and placing them in a happy position. It will also help prevent the marionette lines that go downwards from the corners of the mouth, and it will slightly lift them. With regards to the skin, there are a few good medically effective and scientifically proven creams on the market that can increase the youthfulness and uniformity of your skin within a few weeks. My  top favorite by far, on the market today is Defenage. My next two favorites are Sente and Environ. It is important that you be evaluated by a Board Certified Facial Plastic / Plastic Surgeon or Dermatologist who is well versed and experienced in Botox and also the various medical creams on the market to advise you appropriately. 
Best Regards, 
Dr. Anna Petropoulos
Board Certified Facial Plastic Surgeon
Boston's North Shore

Botox works on muscles. As such the sensitivity of your skin would have no bearing on the injection or ultimate results . Of course you should consult with a qualified provider .