I had issues so I am not going to tip my hair stylist.
That's not good. Why won't you be tipping your hair stylist?
I hate how the hairdresser styled my hair
You should let the hair stylist know how you feel instead of not tipping. The hair stylist performed a service for you and deserves to be tipped. The hair stylist could refuse service to you the next time you come in.
I'm never tipping for messing up my hair.
Tipping is expected of people who worked hard to do a service for people. If you didn't like what she was doing, you should have said something while she was doing it so that she had a chance to fix whatever you had a problem with.