Making introvert speak when entering a room??

So I’m naturally an introvert. And I just don’t say hey when I walk into a room. For some reason that’s a big problem for my step mom and now my dad too.

Well I just moved into their house and that was one of their stipulations for me living here. That I’d have to say hey to everyone when I walk into the room.

Well today when I came down stairs my step moms like “HEy”. An I said hey back. I got some water then decided to go back up stairs, well she decided to strike up a conversation. We talked about school for a second And I wasn’t really TRYING to stand there an have a conversation so finished it an I went back to the room.

Later I hear her complaining to my dad (idk about what) idk if it was me or her daughter. But I heard her say my name and she’s completely bitching. And I haven’t even done anything wrong.

Yes I’m assuming..

But I wouldn’t be shocked if its about me not saying hello to her as soon as I walk into the room.

Is it THAT rude of me not to say hey??

And it’s in the house not a public setting so I figured it’s okay if I just walk by an get water without saying anything?? I really don’t understand how that’s wrong.

They say it’s rude because I should acknowledge their presence, but I genuinely don’t understand??

It’s also one of those things, if I wanted to have a conversation I would, but I somewhat don’t see the point it feels like i have to be “professional nice” at the house with family?? Like it’s just me I don’t get what the big deal is