Should I apologize to her for being overbearing?

So I started talking to this girl about two months back. During that time, I started to develop some really strong feelings for her. In the short version of it, I could say everything went really well up until a few nights ago. I told her how I felt and she took it really well, but told me she would rather stay friends for the time being (which I do believe she truly meant) and that she just wasn't looking for a relationship (which I also believe she meant in general, nothing personal towards me). I, on the other hand, just being the way I am, despite having genuine intentions, freaked out a bit and went on and on about how much I liked her, cared about her, wanted to be with her etc. and basically didn't leave her alone about it for the next few days. But every heartfelt thing I said was true, which is exactly why I'm wondering if I should apologize to her for being that way and probably making things really awkward in doing so, and let her know that I really would be ok with just being her friend. Or would it best best to just leave her alone for a bit and see what happens? (I did promise her I wouldn't bring any of it up again)
Should I apologize to her for being overbearing?
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