The hormones that affect hair, voice, sex drive, muscle tone, breast size, etc., are still made in your ovaries. They will still flow throughout the body in the bloodstream. Sterilization does not cause weight gain or facial hair. A general or local anesthetic will be used. The choice depends on your physical condition and the method of sterilization being used.
Local anesthesia is much safer than general anesthesia.
There is less risk of serious complications, including death. General anesthesia is entirely painless. When a local anesthetic is injected, you may feel some discomfort. The pain is relieved with medications and sedatives. You will remain conscious but sleepy.