It's them with an issue not you.
No wonder her dog is aggressive if her starting point is to be aggressive, it will pick up on her energy.
My dog is always off lead (except for near traffic, around livestock, and places where there is a rule about having to be on lead), and he is trained to never approach dogs on lead until I give consent. Even on narrow paths he will slow to walking speed and give a wide berth walking as far to the opposite side as he can, all automatically, I don't need to command him each time, he just knows how to behave now as it's so ingrained. Sometimes people screech at me to put my dog on a lead with no justification, because he is nowhere near their dog, isn't even looking at them. 99% apologise when I explain about his training and say how good he is to do that.
What does frustrated me is the amount of people with reactive dogs who don't manage the situation. I have had people be dragged down the road by their on lead dogs, who are pulling them trying to attack mine. Or even worse, aggressive dogs not even on a lead. Thankfully, mine are trained not to react and to deescalate instead, and will only ever fight back as a last resort (if a dog has bitten). They also look to me for instructions if they know a dog is going to kick off and aren't sure how to get out of the situation, because there is no easy escape route and their owner isn't there.
I have no problem with people with reactive dogs that are sensible and manage the situation safely. Indeed, because my dogs are/were so sensible around aggressive dogs, I was often asked for support to help them learn to be around dogs safely, which I was more than happy to do