Most Helpful Girl
You sound like my father, and he hasn't had a relationship going for more than a couple weeks after he and my mom split. He also has the childish idea of "i'm not making first contact" and that's always when his "relationships" end. Don't purposely ignore her or whatever, just give her some space. And maybe stop with the ultimatums?
Most Helpful Guy
Listen, when a girl says she wants to take it slow, its either because she isn't sure about her feelings, both towards you and others, or she doesn't want to get hurt. So talk to her most often and show her how amazing you are and treat her like she's a princess so she won't be scared. This will also make her focus on you even more, dont be distant, be closer. Hope this helps you out, and good luck mate.