I've been dating this girl for two weeks now, and she suggested we take things slow (we were physically escalating quite high and had a relationship). She's a mom with son of two years old.

So the past week I went to her house, because that's were her son is most comfortable, during all these times we didn't have "alone time". I have no idea where I stand with her, or we are going with the relationship. I know she still likes me a lot, but it's as if she's avoiding being isolated.

She's very emotionally broken and protects herself from any serious commitment and stays in her comfort zone with people around her when I'm around (scared that things might go too far when we are alone).

Should I push for a coffee away from her home or should I just continue with things as it is?

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"Everything you do will be insignificant, but it is very important that you do it" - Gandhi

The key is her son.
Treat him as he was your own and she will be yours in no time.
Just remember your not using her son to take advantage of her, more like your bonding
with her son and she sees you as a more attractive sexual partner.

2 is a bit young to be interacting with the kid. He'll have no idea who you are or what to make of you, so all the kid really is is just a distraction that you have to deal with. You'll need to find a babysitter since she can never leave a 2 y/o alone during his waking hours. You can't run your game on a mom with a young kid the same as you can on a regular girl. You have to take into account the logistical considerations of caring for the kid, which is a pain in the ass.

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“Nothing is impossible, the word itself says 'I'm possible'!” ~Audrey Hepburn