If you have breached (violated) the terms of your agreement, then yes, your wife can sue and will almost certainly win (the fact that you took over a very expensive apartment lease is NOT a defense to you liability), getting a judgment against you.Normally, your state (TX) does not allow wage garnishment except in very limited circumstances. Unfortunately, alimony or spousal support is one of those circumstances. It is possible that a court would consider your obligation to pay the loan for your ex-wife as the equivalent of spousal support/alimony and allow the garnishment.