What do I do here?

I’m so angry right now that I can’t really get a clear idea if I’m just fed up or if I have a right to be upset.

So I’m a 100% introvert. Being around people for long periods of time is exhausting for me, and I prefer to do things alone. My husband has a little brother, 27 years old, who is in limbo for a week before he moves into his new house with his fiancé. His fiancé and him have basically been sleeping together and living together for years. She currently has an apartment. He asked to live with us during this week of limbo and my husband said yes. The fiancé doesn’t want them to live together before the wedding.

My husband said yes. My husband also works 50 hours a week and is gone all day. The brother works from home and plans to work in our basement. I have an incredibly loud and active toddler who is going to be banging on the door all day. I have no relationship with the brother and I’m going to feel awkward and uncomfortable in my home for a week.

Am I being a bad person for not wanting to let him stay with us??