How do I give my mom some time alone without actually leaving her alone?

Don't know from day to day what I will be hit with - the sweet Mom that will cooperate fairly well or the uncharacteristic cussing and nasty Mom. Yesterday she hugged me and said it was so nice to get along and this morning she cussed at me.

She refused to change her socks and Depends this morning (she did understand what I was asking) saying the doctor said she could wear them for a week. She said she wanted to go to the "hospital" (that's what she calls a nursing home) because they wouldn't make her do that. I've learned to remain calm because it only gets worse if I try to convince her. I just told her that she would have to stay in her room until she agreed to change them and then closed her door. About 30 minutes later, she started to come out and I told her she would have to change first. She had changed her socks so I told her the Depends had to be changed also and she did it although she was not happy with me.

Since then, I fixed her a snack and lunch as usual but left her alone to eat them. Kind of like a time out because I'm thinking it might be better for both of us. I'm here if anything is needed, just in another room. Is this a reasonable way to handle the situation?