Legal Question in Family Law in Texas

Actually, he wouldn't normally file anything at all in response to a generl denial. If there aren't any pretrial motions involved (for discovery, etc.), the next logical step would be for him to request a hearing be set. Since he filed this, it's his duty to follow through with it. If he doesn't, at some point the court will notify him that unless something happens withhis case by a certain date, the court's going to dismiss it for want of prosecution. Waiting for that to happen would be the passive approach to this, and probably the most logical thing to do if you don't have an attorney, don't plan to get an attorney, and aren't interested in making counterclaims of your own. If on the other hand any of those three things are not true, there are more aggressive ways to deal with the situation which might have some advantages for you. I would not feel comfortable recommending someone go that route without an attorney, though.

Don't worry about his lawsuit. Don't worry about getting it "thrown out."

His filing of a lawsuit doesn't have anything to do with his duty to pay court-ordered child support. Unless the child support order has been modified, the duty continues, no matter what he files in the courts.

He doesn't have to "answer" a general denial.