Legal Question in Family Law in Texas

If the father "has custody," yes, he can certainly be awarded child support from the mother. The rape may be a criminal act, but that doesn't change the fact that children have to eat. And they outgrow their clothes.

You might want to rephrase your question. Who raped whom? Was it really rape? Did the mother file charges? If the mother cries "rape" only after the case is filed, it might be understandable that the judge would not believe it. If so, then the judge might award "custody" to the father. IF that is the case, then the "rape" is not a relevant issue, the only issue is whether the mother should support her child and the answer to that question is yes.