The kicking -- hardly abusive. I have yet to see a woman that could injure a horse by kicking it. She might break her foot, but she is hardly going to cripple the horse. [I saw a big, strong farrier break his foot once kicking a horse in the belly.]
So abusive? No.
Good training methods? Not hardly.
Sounds like a person that gets frustrated easily. Sounds like a person that loses their 'cool' and, instead of thinking, just reacts.
I would still think that it was better than having someone nag and peck and get no response at all. Learning how to train effectively and without temper takes a lot of maturity as a trainer. It takes someone that uses their head and not their impulses and temper.