When you are applying for a tourist visa through a hotel i dont think you can be the sponsor (correct me if i'm wrong) If you are applying for a tourist visa YOURSELF through immigration then yes they will ask her what is her relationship to you, which might cause a problem. In case of hotel they act as the sponsor and they might also require some deposit.

To avoid all the hassles just get her a tourist visa which is like valid for one week or 14 days through the hotel. About the 5000 its better if she carries that amount with her to be on the safe side. Qatar has rules changing everyday better to be safe than sorry.