Advice.

Using a throwaway.

Basically, my wife is a neurosurgeon, and barely finds time for me.
And i am in corporate law, so when it came to raise our 2 children, we were mostly absent and outsourced through boarding schools and nannies. (They are 14,16)
Last week my daughter (who is age-14) came home early for summer break.
I had no idea and was with an affair.
She caught us in bed and i managed or at least tried to manage the situation, but at the dinner she told everything to her mum.
Now, after the dinner i came back to my room, and found her, where she flatly with any drama said, “i want a divorce.”
Why?
I have no idea. Because that affair thingy wasn’t the cause as since the start of our relationship we were clear that we can have these relationships, if we were discreet and there was an embarrassment clause.
My daughter saw us but it has been an acceptance in our household, (i know i was sloppy but the reactions by my wife are purely incoherent according to our agreement)

She has stopped talking to me and giving me cold shoulders. And also has contacted her parents, for some legal paperworks regarding the divorce.
I do not want this, it is messy and will affect me financially and logistically, and her family despises since the start of our relationship, as i am not from a wealthy household like theirs and ruined any prospects for a good alliance marriage for them.

(If she is really divorcing me due to her affairs then, it is quite hypocritical as she has had some known ones too).

How can i convince her?