Girls, I gave her space and time and she came back to me... is the saying true?

chris1245
There's this girl i'm deeply in love with. she doesn't love me back, and after things got too weird between us, I decided to give her space & time. I didn't talk to her for 6 weeks and I tried to stay away from her - to the point of leaving parties where she was at so she won't feel uncomfortable.
Suddenly she came back to me saying she never wanted me to do that ever again , she indirectly said that she cared a lot for me and she wanted things to be okay between us, yet I know she hasn't friendzoned me because she told me she didn't see me as a friend but she thinks i should stop thinking about what we are or the relationship between us.
It made me think of the saying "if you love her , let her go if she comes back, she's yours forever" . could that saying be true in this case?
Girls, I gave her space and time and she came back to me... is the saying true?
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