I dont think so, I used to breed rabbits when I was like 13-16 I always got scratches from them spesh when I cleaned ther cage every fortnight. Some were pretty bad too, I just had a shower and never looked back at them, they never got bad or infected. I believe you and baby are safe!
Just make sure you clean it out well. I work with wildlife animals at a rehabilitation center . Stopped at five months till after my babys born but i did get scratched and bitten a couple times while i was already pregnant. Make sure u clean it with peroxide . I also would use an iodine solution . But i literally worked with like squirrels and stuff so im sure you'll be okay.
Thank you ladies. I wasn't sure if it was the same rule as cats.