AITAH for refusing to pay my sister's rent because she "has a right" to live in my apartment?

So, I (29M) bought my apartment about two years ago. I've worked my ass off to be able to afford this place. It's not a mansion, but it's cozy and I've made it my own. Recently, my sister (24F) got into some financial trouble after quitting her job because "it was too hard on her mental health." Now, instead of finding a new job or seeking help, she has decided that she wants to move into my apartment.

She barged in the other day and announced that she should just “stay with me for a while” because family helps family. I was taken aback. Did she really think I would just open my home to her for free? I told her that if she wants to live here, she needs to pay rent. She screamed at me about how I was being selfish and that family shouldn't charge family.

Now, she's gone and told my parents about it, and they are having a full-on meltdown, calling me a monster for not taking her in. My mom insists I should be honored she wants to live with me, and my dad says "it's just rent money, you can afford it."

Here’s the kicker: she thinks she should live rent-free because we’re “family” and it’s “our blood.” Apparently, I owe her my apartment just because we’re related. I mean, since when does being family mean financially supporting someone who refuses to help themselves?

So, AITAH for standing my ground and telling her she needs to pay rent like any other tenant?