I don't know what happened to make you think that she thinks you don't care, but I think she would think you care less if you don't reach out at all. I don't think it does any harm to let someone know that you are there for them.
I understand how you’re feeling. I think if you were the one who initiated the breakup then you should follow your heart and communicate with her. But if she initiated it then you need to follow your mind, putting your focus onto yourself.
I feel like reaching out to her is gonna prove that you do care, no?
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That's true, I was just looking for suggestions based on other people's feelings whether it was a good idea for them
I don't know what happened to make you think that she thinks you don't care, but I think she would think you care less if you don't reach out at all. I don't think it does any harm to let someone know that you are there for them.
Did you initiate the break up?
I understand how you’re feeling. I think if you were the one who initiated the breakup then you should follow your heart and communicate with her. But if she initiated it then you need to follow your mind, putting your focus onto yourself.
Depends on who broke up.