I got the feeling she told you about her daughter and the need to pick her up each day to explain to you that you could never go over time. I feel like she told you that to help you understand why she wasn't able to keep you longer and she wanted to warn you that your days and times happen to be just before she needs to go and therefore she will never be able to go over and she wanted you to have this heads up. If you had an earlier time slot she never would have informed you she picks up her daughter each day.

You do expect her to put her daughter first and love her daughter better than you, don't you? That says nothing about you, you know. NO ONE can ever compete with her daughter (unless she has other children) and her daughter will ALWAYS come first in her life. Again, that isn't a slight against you and it doesn't mean you aren't worthy or a good person, it simply means that in healthy relationships the kids always come before clients or work! (I realize this was not the case for many of you, which is sad, and wrong, and totally the fault of the parents and not the children, but in this case I am assuming this T is a good mother and therefore would always put her daughter first)