That's unprofessional of your worker to no-show or to show up late repeatedly. I'd call and request a replacement, and complain about the no-show and the previous late shows.

Also, no need to compare you to her; apples and oranges; and you're not co-workers with her. None of this is your fault, and it shouldn't make you feel guilty or hypocritical if you struggle in areas similarly. Your role in this is a paying consumer. That's different from being a co-worker or asking a friend for help, etc. You're a paying consumer, she is not living up to what you're paying for. It's as simple as that.

Reward yourself for standing up for yourself.