Dear Ms. Harmon,
History is usually the best predictor of how a youngster will respond to a set of circumstances. Your daughter is displaying some separation anxiety, triggered by your illness and your daughter's anxiety about your safety (underlying this is a fear that you will die). Consequently, she doesn't want to be away from you.
You are doing the correct thing to gently, but firmly, insist that she attend school. Reassure her in practical ways that you are OK. Arrange a time during the day when she can briefly call and touch bases, to eliminate her contriving situations to come in touch with you.
As has happened in the past, this reaction will abate as your daughter sees that you are fine. I don't think there's any need right now to consult a professional. If the situation doesn't ease up after a few weeks or so, a consultation might be in order.