This is just an objective question, but how does one like Ms. Michelle prove to the masses she has a 'genuine understanding of the mistake she made'? I'm sincerely asking. What would that look like in terms of her actions?
Luckily for her spiritual growth, she will not be able to move past this as quick as she might hope, and that is alright, because there is a lot of opportunity for growth on all levels when your ass is uncomfortable. I wish her well and believe, if she can press forward, she would come out much stronger on the other side from this.
That being said, though, be honest - would we take her seriously if she offered an apology of 'damn, I fukked up' and 'y'all pray for me'? Is this not what we often see and have come to expect of celebrities when they fukk up...that an apologies of sorts will be forthcoming and s/he will be in the business of trying to mend his/her public image? I guess I'm point is she'd probably be damned either way. Apologies are but on thing someone can offer to right his/her wrongs, but actions speak much, much louder and much more sincerely. It should be her actions which tell how sincere she is, not what she says. I'm not saying that what she is doing with this song. I'm simply saying that is a principle with anyone - let your actions speak for themselves.
It is interesting you ended your post with 'it would [have] come across WAY better' because it supports my point it is just about appearances in the mind of most.