Having my sister move in with me?

My big sister has been struggling with anxiety and depression. We’ve become close again these past couple years as I've been trying to help her. Our parents think it’s great and are happy we spend so much time together. She’s also getting professional help too.

Parents have kinda suggested to have her move in with me since she seems always so happy visiting me. I'm glad how well we get along and living together might be really good for her. I'm just worried if she's too attached to me and if it's too much to for us living together, especially if I start dating.

I'm not totally sure what to do. I want the best for her and want to help her but I've gotten comments from some about having oddly close relationship with my sister.

What should I do? I'm open to chat about this in detail