Dear Alexandria:
If your apology is adequate and sincere (and you can practice it here, write the apology and I would be glad to comment on it, suggest things for your evaluation in trying to improve and perfect your apology), and she rejects it, it is her right, she doesn’t owe you to accept your apology.
Therefore, if she rejects your apology, you respect her choice. You definitely don’t argue with her, and you don’t attack her in any way for rejecting your apology. You express, again, your sadness and regret for the offense of the past and you can tell her that if she ever wants to talk with you about it, to please do so. You can also offer to help her in some way, so that your apology is not just words, but a willingness to act for her benefit.
anita