Oh boy! Couldn't help yourself hunh?

You couldn't just give her the space she was asking for because of fear of giving her too much space. This is never, ever, ever a problem, and it's the biggest challenge people here face. Contacting her and pursuing her is the same challenge people face if they're trying to quit smoking and sitting in front of a table covered in cigarettes. It's just so easy to do. You know you shouldn't, you know it isn't good for you, but you want to *so badly* that you can convince yourself that it's okay to pursue.

That's what the "my giving her space is allowing her to get over me and date other people" argument really is, it's your brain trying to convince you that it's okay to pursue her because that's what you really, really, really want to do.

It won't work, it will make things worse, don't do it.
Recognize that you're freaking out and grasping at straws and that's okay. You feel like you're drowning and you're looking for a life line. Don't do it.

The number one challenge with this method is discipline, most people simply lack the self-discipline to do it. If self discipline were easy everyone would be thin and fit.

She wants space, you're being the best partner you can be by giving it to her.

If you ignore what she wants, you're asserting that you know better, you're going to disregard what she's asked for and assert what you want instead. How do you think that will end?

Can I ask why legal separation and not divorce?