My aunt is 75, she is planning to rent her house and stay in different houses including mine for several months. How do I tell her no?

My Aunt is 75 is single and never had children. She has always loved me very much. The issue now is that she wants to move to her country and rent her apartment she has in the US. She told me over the phone “ I'm renting my apartment and will stay in my friends house for a month and then go stay at your house for a few months. So her plan is to stay at different people’s houses when she comes to the United States. I don’t have a problem if she comes to visit but I don’t want her to stay for months in my house. I live with my husband and 6 year old daughter and love my privacy very much. How do I tell her without ruining our relationship or hurting her feelings? She keeps saying that she is worried about her future because she doesn’t have any children to take care of her when she is older.