Carmilla appears to be largely professional, though she can lose her temper, especially when you is insulted or her family is in danger. You claims that losing her temper is usually very unlike her, indicating that she is usually calm and level-headed.
She cares about her daughters, willing to cross any line to protect them, even if it means killing an Exorcist while knowing there will be disastrous consequences for it. She even cares about you, willing to protect him too.
She loves you.