@Arnoldisiji,
You do understand that by asking for her forgiveness, that you are telling her that you have done something in need of forgiveness (in her mind that will be cheating).
Why then (from her perspective) should she forgive you?
And shouldn't you be angry that she has accused you of something you didn't do? And not just a minor misdeed, but a rather major one....and on the other side...In her mind, it's likely that your lack of anger is because you are feeling guilty.
So again, (from her perspective) why should she forgive you?
Basically, you're being too nice by not standing up for yourself...funnily enough, the actual cheaters have no issue lying while 'standing up for themselves / being angry at being accused' and often get believed.
You don't have to be nasty...even while some emotionally honest responses would go a long way to settling the problem (whether you stay together is a different matter...but it will never be a happy relationship if you can't stand up for your own good character)