Alimony final payment

My ex wife received a judgment for 5 years of alimony. I paid her 4 and lost my job. I have been back in contact with her and she is willing to take less then what is owed and has had a letter notarize stating she will take 4k instead of 14k for final payment and release any judgments against me. Can she do this legally since it was court ordered alimony?