Taekwondo pays attention to the leg technique, and often uses high leg lifts, which requires higher muscle control and ligaments. It was won by speed and dexterity. Your constitution is not suitable for practicing Taekwondo.
Karate is divided into many schools. One of them knows karate very well, and has a high demand for leg skills. There are also many high kicks and side kicks. In other schools, boxing is relatively more.
However, there is an old saying: hands are two doors, both of which hit people with their feet. Leg skills are very important if you want to defeat the enemy. Leg training is not hard, and the technique is not too high. After all, the attack range of legs is larger than that of hands, and the strength is much greater. The next set of kung fu is also the basis of punching strength and body movement speed.
Two months is too short. I suggest you learn women's self-defense, or wing chun. Wing Chun Boxing, in particular, is popular in recent years, and it was originally created by Yan Yongchun, so it is more suitable for women to practice.
If you have enough time, it is more appropriate to practice Xingyiquan. There are not many legs, but the boxing is very powerful. There is a saying that "Xingyi kills people for one year". After practicing for a year, the power of boxing may kill people, which is obvious.
However, no matter what boxing, two months is too short. If you want to achieve a little success, you must keep practicing, at least after studying for a period of time. If you are savvy and can bear hardships, 1-2 years should not be a problem to beat a few hooligans easily.
Of course, no matter what martial arts, it is better to practice than not to practice, but it is impossible to become a master in two months. You must have this awareness.