Should I send this text to her?

I don't want to make a long post so I'll cut to the chase, me and my girlfriend broke up because "she doesn't know if she loves me, she thought we were moving to fast, kept apologizing , told me that a relationship shouldn't have someone just wait for someone and coming up with many reasons that didn't matter to her before but I feel it has to do with personal stressful problems that have begun happening ( I won't go into details but assume the worst). It's been almost a week with no contact and I just thought that I should send her a text "that I still love her a lot and that I hope she is doing well and maybe one day we can hang out again" or just give her her space since she said she wanted to be friends and hang out. (We made out one last time before the break up)
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Should I send this text to her?
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