You are not going to be losing muscle unless you are not eating properly. Your body will not go into starvation mode if you eat healthy appropriate foods.
Does Aerobic exercise Make You Lose Muscle?
Yes, it's true. It's a scientifically proven fact that muscle proteins are broken down and used for energy during aerobic exercise. But don't worry, you are constantly breaking down and re building muscle tissue anyway. This process is called "protein turnover." Your body is constantly alternating back and forth between anabolic (building) and catabolic (breaking down) cycles. That's just a normal part of life. Your goal is simply to tip the scales slightly in favor of increasing the anabolic side and reducing the catabolic side just enough so you stay on the anabolic side and you gain or at least maintain muscle.
This fact of human physiology has often been taken out of context and used to scare people into not doing cardiovascular exercise for fear of losing muscle. When you fast overnight as you sleep, you lose muscle too, but that doesn't mean you should stop sleeping!
Sure, it's possible for you to lose muscle from doing too much cardio, but it's highly unlikely. Shying away from cardio completely because you think you'll lose muscle is a huge mistake. Only excessive amounts of cardio would cause you to lose muscle because over-training tips the scale towards the catabolic side. It's difficult to generalize and pinpoint one specific amount as too much, but I think it's safe to assume that just about anyone could do up to 45 -60 minutes of cardio a day, 6 to 7 days a week without losing any muscle - as long as the proper nutritional support is provided.