The gym is my crucible where I work on myself, do not let some piece of tail ignore your peace there, it is where you forge yourself in fire, stop getting distracted.
If she wants you bad enough she will find a way to find you outside of the gym.
Approaching women at the gym is a really good way to get kicked out of the gym. In fact it is a really good way to get canceled by some stupid hoe looking to make some indignation porn because you dare approached her while she was working out.
It falls under the universal principal of don't **** where you eat, that is why you don't hit on women at work, the gym, or places you won't be happy if you cannot go back.