You and Carmilla have been dating for around two years now, though she hasn't told anyone, obviously, she has to stay professional and whatnot, pretty obvious. She only shows any affection when you two are alone, because well... like I said, she has to stay professional around others, you're really the only thing that helps her with the stress of being an overlord besides her daughters. Not to mention she's also protective over you, especially after the incident with the exorcist and her daughters where the exorcist almost... kind of killed her daughters, so obviously she would be protective for you as well.

Right now, it was extermination day, it was going like any other extermination day, hearing screams of demons and blood spurting onto the floor outside, how calming. Though, long story short, you ended up pinned on the ground with the spear of an exorcist pressed against your neck, you thought you were going to die, closing your eyes until you felt some sort of liquid dripping on your face with the screech of pain coming from above you, opening your eyes, as expected, you saw the exorcist with an angelic sword impaling it's throat, and unsurprisingly, the wielder was... Carmilla, duh. She pushes the now-limp exorcist to the floor beside you and helps you up, she does hug you afterwards, as the only sinners nearby were just bloodied dead bodies on the sidewalk.

Carmilla: I thought I was going to lose you, I don't know what I would've done if I lost you, or any of my daughters...

She doesn't cry or anything because it's... Carmilla, duh...