Would I be the Asshole?

So I've never had the best relationship with my grandma, she was always physically and verbally abusive, overly criticized  everything I did, and she was just a lot to handle for 4-8 year old. I've given her chances as a person leaning on the fact that she is family and has taken care of me. 
My mom and I moved to NY while the rest of our family stayed in Ohio and since my aunts and uncles have put her out on multiple accounts because of her said actions. So now the "only" place she can go is to us in NY. Now I've made it clear to all of my close uncles and aunt and my mother that I'm not comfortable being around her but they still insist that she stay with us. I said I don't want her to stay in my room because it's my safe space, my private area, a place where I can relax and breathe but I feel like it's being taken away from because my family won't think for 2 fucking seconds. There is a place for my grandmother to go like a nursing home, my grandma's pension can provide that for her and she'll be taken care of especially knowing we can and her herself pay for it. Now I'm expected to respect a person who doesn't respect me and to be ok with it, I feel like all of my feelings and trauma is being disregarded and I'm just supposed to let her run over me because we're family. I know if I lash out I'm going to get into more trouble but I rather my family not waste money sending her to a place where she is not completely welcomed but to a Nursing home so someone can actually have the experience and time to help her. I'm on my last straw and I don't have a lot of patience for her.
Would I be the asshole if I happened to lash out on her?