There are gyms and studios that offer kickboxing classes for women. Most classes are open for both men and women but they are often separate because of the intensity.
Yes, there are several. There are shelters for homeless women, shelters for battered women, sheltered for women addicts, shelters for women with children and so forth.
It depends upon your location in San Antonio. Golds Gym have various locations across the state and also Planet Fitness and Victory Marshall arts seem to be popular choices.