How can I get back with my ex girlfriend? Is she angry?

i broke up with my ex girlfriend 5 months ago. she cheated. i didn't contact her until 3 weeks later, while in no contact she sent me a text saying that she did not want to put pressure, she was willing to wait as long as i need because she still loved me she wanted to get back together which i ignored because i wasn't interested. a month ago. she invited me to meet for coffee and talk. she wanted to talk about our relationship. she said she wanted to be friends, moments later she said that honestly she had mixed feelings and did not know what to feel, she wanted to find a solution she could not stop thinking she confessed , that she loves me and always will. she told me that we should probably take some time apart for few months to wait and see about our feelings. i told her to stop thinking about me too much and to just take it slow to see how it goes, if we are meant to be together we will if not then it's destiny she agreed. when she heard about me reconnecting with another ex, her emotion changed while she tried to hide it, she told me why i did not tell her and started to as questions, she even said that if am with someone else i would see. later on she told me that she was not jealous. she invited me to a 3d date which i slept off but apologized when she got angry so she invited me to another one but i haven't had time to meet her since then. when she got her new job offer she called me immediately i'm the 1st person she told. we are still often in contact. when she hears about her friends or people looking for accommodation she always give them my number because am a part time estate agent. 2 days ago i sent her an email regarding what she told me a month earlier, saying that i agree on her decision to take some time apart, i was going to take some space. she did not reply

This sounds simple enough, you need time apart. Do that, granted maybe your girlfirend misses you but she suggested the time apart first and maybe deep down you also wanted that time because othersiwe you woudn't be so reluctant to go on a date with her, if you wanted her back so soon, you wouldn't have put off the date. So take the time off, like you said if you're meant to be you will both miss each other and decide to get back together. The time will do you good. But you have to do it for you, not anybody else but you, it doesn't matter whether she replies or not, the most important thing is that you sent the message. Good Luck.