I can say with 100% certainty that the answer is “Maybe.” I know that’s not very helpful, but I think you’re the only one who can really answer your question. If you’re concerned that your exercise is exacerbating your fatigue, why not take a week off to find out? One week isn’t enough to lose fitness, and if you discover that you feel more energetic without exercise, then you’ll have your answer. Keeping a journal can help you remember how you feel on a day-to-day basis.
I find exercise helps alleviate stress up to a certain level of intensity, and then it can contribute to stress. A little stress isn’t always bad, but it sounds like you have stress coming from a lot of directions, so you may need more time for relaxation. The only way to know is to experiment and see what works for you!