How long will it usually take to receive a court date for a divorce after my husband has been served? We live in Texas and have one 2yr old daughter

If you requested a TRO, you should have gotten a court date. If you did not request a TRO, you can request a temporary orders hearing and the court coordinator will provide a date for the hearing. If you're asking about a final trial date, again, you woule work with the court coorinator to get a final trial date. Each county and court is different, so you must work with the court coordinator for the court where your case is assigned to get a schedule for your case.