And I'm not actually worried she will bite, she hasn't to date, I'm just aware she CAN bite, and is not comfortable with people she doesn't know. I've tried saying she is shy, she doesn't like people, we are training, she's a rescue and am not sure of her attitude, and people seem to take that as a "well let me try it, dogs all LOVE me crap." So, I've found saying "she bites" keeps people at bay.
I don't want her to get to the point where anyone can walk up and pet her. I don't want her to be a big cuddly ole bear. I just want to get her non reactive to people, so she isn't so stressed on walks when we do encounter people, which is every single walk we take.
I do maintain my stride, but dang, people can be persitant and have even had a few people jog up behind me to ask questions about her. She'll give a warning bark or two, and I've learned to say "sorry, she bites" and keep on walking.