Hello! I'm not sure if you went yet but I know what eases my mind bringing my dog to the vet is knowing the professionals are there and know what they're doing. I'm sure they keep an eye on big dogs and dogs that look rough, and I'm sure the owners will have them on tight leashes as well! Most of the time big dogs are just as gentle as small one too
and I'm sure your leash is very secure! Good luck!