I personally think that if they've already deducted it from your paycheck, then you shouldn't go beyond that. She's the one who took the legal route to have it taken from your check, so if she doesn't like the results of that system, it's certainly not your fault. I think giving her money enables the affair, and that's the last thing you want to her. Her financial hardships are good, from your point of view, because you want her to face the facts of life without you in the picture.
The LORD is near to all who call on him, to all who call on him in truth." (Psalm 145:18)