By chilling out & giving her some space. Give it a little time & talk to her about it. Apologize and explain that you didn't mean to come on so hard. To be honest, she may be done with you & just said that to minimize your hurt. There's only 1 way to find out, it's called asking
You first need to get your life back on track and figure out what it is you want from the relationship. Call her and schedule for a lunch/coffee date and then apologize for your previous behavior that led to the breakup. Try being her friend first before going straight to asking her to be your girlfriend again. Give her time to think about it and do not pressure her too much and then you can let her know how you feel about her.
Act as if you are not affected in which it would reflect on your emotional character from your ex as possibly to needy I.e. moving too fast. This statement is the same as its not you its me, or I need time by myself. Get together with your friends for strong support, keep busy, do not dwell and if your ex needs to go slow, see if she is bluffing, do not call, allow them to reach out to you at their pace, see how that sits with you, you are already broken up, do not let yourself become a bargaining chip. If other factors re intimacy is what your ex is referring to, if you love eachother you will respect boundaries, if its in regards to seeing less of one another, do as your ex asked, staying strong in character by being able to be independent, this will be admirable, and will work to your advantage. I am 34 years old and never experienced true love and honesty until this past year, it is sas but this person I am now married to has given me everything I had thought I had, I never knew what real true love was, I thought I did, but it is not possible, because as my 8 year old son everyday everyway I feel positive. No games, honest love.
I was recently in a relationship that moved to fast for the other, i wanted something different that they did and i think that is something that you need to realize before you try and get her back. You need to figure out what it is that you want and what it is that they want because if you guys are trying to make a relationship out of something that will never be, it might be a waste of your time. you may have to just realize this and move on. if you think you like her it might be better to just give it up because you don't want her to be in a relationship that she's not happy with. or maybe you could try and change for her but i don't recommend that because she needs to love you for you.