I really feel the need to take care my grandma despite me being also sick.
Why do you take care of your gradnma?
I don't want to put her in a nursing home.
It's good that you take care of your grandmother, but you should take care of your own health to. If not, you won't have the capacity to care for her in the ways she needs.
I just worry a lot about her and I want to make sure she is doing well.
I definitely understand that, but if you don't take care of yourself you may get worse and not be able to take care of her at all. It's okay to realize there are some situations where it may be too overbearing and you may need help with taking care of family members.