Surprising though it may seem, studies indicate that amateur style boxing, besides being an excellent form of exercise, is quite a safe contact sport for women to participate in.
Generally speaking, the overall injury rate of competitive boxing is not any higher than most non-combat sports. Orthopedic injuries and hand injuries are rare for competitive female boxers and leg injuries are practically non-existent. Also, amateur boxing athletes are no more likely to suffer from chronic mental impairment than other athletes and incidences of neurologic injury is rare for women's amateur style boxing. Of course for these things to be true is dependent upon adequate conditioning of the athlete and usage of proper protective equipment.