Could, but unlikely!
You will need to discuss this with your doctor. Since you were found to have low levels of cortisol, itself, which can causes depression (was this measured or simply guessed at?), this is a low dose, and would likely suppress your own cortisol production even further! so the net rise in steroid activity is small.
Could happen, but I am on the side of unlikely and that it might be a coincidence!
...Do you have a follow-up question? Consult Dr. Namey, a
with 38 years in practice: