I'm not a medical guy in any way, so this is "just me". For cold/flu type of illness I have two rules of thumb (well, right and left)

1. Body depends solely on immune system for viral infections with no real vaccine or cure (e.g. cold & flu). So the best I can do is supporting my own immune system - which is a warm rest indoors.

2. Profuse sweating works magics on me for those kind of infections. I usually get over a really hard flu in a day or two of hot bed rest, akin to Finnish bath. I mean real sweating like swimming in your own sweat. Then, I'm up and well again just in a day or so - as opposed to crawling around more than a week. However, it becomes tricky with all that sweat and you need to be very careful not get "cold over cold". In such times, if I've absolutely got to get out of bed, I go like a walking tent.

So, I'd suggest skip the excercise and stay warm, indoors. I'm curious about what medical pros would say on this, though. I'm almost sure that they would agree on (1) but to this day I've never heard a doc advising (2). Is this really "just me"?