This is actually a very good question. And one that that can help other people. Ah. Refreshing.
To your question...much like any thing in life, it all depends. While it's possible that your dating pool would be limited, it doesn't mean its non-existent. I know plenty of women with children who are dating, and meeting people at an impressive rate. And some of the women have multiple children. It just depends on the type of men you meet and where they are in life and what they're looking for.
Kids don't scare everybody away. I'd wager that most people like children and aren't completely against the idea of dating somebody with a family already. Especially today. It seems like everybody's got a kid. Seriously.
So yes, it will be a dealbreaker for SOME men. Maybe even half. But that still leaves plenty of men who might still date you - once the child gets a little bit bigger. I can't see most men wanting to date a woman who JUST had a kid.