As the person, who had a bad experience with dogs in the past (I was attacked by a homeless dog when I was a child), I can assure you, that if I see a dog without a leash running towards me I will be scared af and it will be kinda a big stress for me. I can also panic and try to run away and then your god will think for sure, that I want to "play".
You do you, I guess though.
Btw, I'm trying to deal with this fear of dogs and I want to say, that I would pet your dog. She is cute.