Not gonna happen
You cannot simply erase credit history. If you could, there was no point in having the credit reports and scores system in the first place.
It’s true that people sometimes do get lucky with good will letter or pay for delete agreement, but those work only on single time late payments such as unpaid medical bills etc.
Recurring late payments such as credit cards cannot be removed. No credit card company would ever agree to that. And taking into account that you where 150 days late – you stand no chance with good will letter either.
FYI, you are very closed to having your account being charged off. A charge off is much worse than late payment for your credit. If you can – get current immediately and try not to be late again.
In two years the effect of this late payment will start to diminish.
Good luck