You're wondering if you should keep asking to visit her, even though she asked you not to?

Illness is a very personal matter. Lots of people really hate for anyone outside of their immediate circle of intimates to pop in to the hospital. A hospital room is similar to a bedroom, in terms of how private the occupant has a right to keep it. It used to be like public space that anyone could walk into. More and more hospitals are letting patients specify a list of who can be allowed in. Then passes are provided only to those on the list. This is how it should be.

There are at least two kinds of boundaries. One kind are the limits that a person verbalizes that they want. Another kind are the limits that shouldn't have to be verbalized, but that good manners should presume. Respecting a person's privacy in the hospital is covered by both. That's why it would not be polite for you to press the issue. Calls, messages and emails should be limited also. Those kinds of things require her to pay attention to you. A "get well" card is nice because it does not stress the recipient by requiring interaction. Groups of co-workers often send a plant or small bouquet.