I highly doubt it, I wouldn't worry about that at all. Sorry to hear that you have it, I have several friends who had it and it was [ for them ] no more than a mild flu. That includes a 76 year old that is overweight and on a Cpap machine at night. She seems to be back to her old self.
I was just in the same position as you, though I was symptomatic. All I've found online and here says that our reptiles are at low risk, if any risk, of contracting it from us. Be well!