Noises affecting house training

My wife and I picked up a new puppy this weekend (11 weeks, Lab/Pit mix) and it's been wonderful so far. Before us, she was with a foster family that had done a lot of work on housetraining, so she was pretty far along. We noticed that while she was mostly housetrained, she would only ever poop or pee in the same spot outside (about 50 ft from our front door) A little odd, but we thought okay, as long as it's outside no worries. Issues started this morning when construction workers started work on the house next door. The loud noises of power tools really scared her, and she won't relax enough to use the spot she's comfortable with, and after a long walk immediately had an accident in her crate (not closed in, just entered it and peed). Any suggestions for helping her with this? Is it a matter of getting her used to the sounds, or training her to go in other places outside? Both? Neither? Thanks for any advice!