How can I be "not too distant" ?

So I caught feelings for a girl friend at work... Little did I know she was already in a relationship, Basically friend zoned and I told her I would keep my distance for a few days so it wouldn't make things awkward and she replied:
of course no worries, don’t need to be too distant lol it doesn’t matter rlly

What is "too distant"?
How can I be "not too distant" ?
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