If she is so independent let her make the tea - she must be able to or she could not live alone - but go into the kitchen with her and carry the cups of tea into the living area. She will not want much except your company - that's what I like, anyway. I am sure you will be able to keep up a conversation with her. Tell her your bits of news, anything will do. If you want to 'take your welcome with you' take just a packet of chocolate biscuits or perhaps a few home made cakes if you are good at baking. You can tell her you want her to try them out as you are just doing a new recipe. You have to be kind and patient, which I am sure you are.