We broke up but I still want to be friends with her, what should I do?

We broke up on understanding terms like almost 3 months ago, and since she has lost contact with me (we had tried to stay friends) because it wasn't best for me or for her at the time, but I keep feeling this intense urge to contact her despite the fact that I'm not sure it's been long enough. Part of me also thinks that she wants to say something to be. My last text to her made it sound like I didn't want to talk to her, which was an error on my end; I worded the sentence poorly. I do want to talk to her, but I'm scared of her not wanting me back in her life despite the fact that there are no issues between us other than needing time apart to figure ourselves out. I don't know what to do I don't want her to think I hate her but I also don't want to contact her too soon. I should also mention that this is the first relationship I've been in where I felt like it could work and wanted to make it work, and even now it feels worth it. What should I do? Contact her now? Wait? Do nothing?
We broke up but I still want to be friends with her, what should I do?
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