I wanted to ask my teacher for a letter of recommendation, and wanted to contact her via a phone call. Upon asking her what time she would be free (I didn't mention the purpose for calling), she answered that she was sick and out of town as well. She told me that she would be free after around 10-15 days. However that is pretty late since she will also need some time to write the recommendation letter. The admissions team is going to be reviewing the materials beginning from January.
What should I do? Is it rude to bring up the matter of my recommendation letter when the teacher is sick and wait for 10-15 days or should I mail her regardless and at least inform her about it?