I think of
Patience more as a virtue or long-term goal, rather than a short-term personality trait. Like, her parents had to patiently work hard at having a child, or had to be patient at some point in their lives before being together, etc. They had a goal, and patience has helped them achieve it.
I don't disagree that a little
Patience might be teased if she was acting impatiently, but that's not really the point I get from the word/name anyway.