You need to appear at the hearing on the TRO and fight the TRO. You cannot let it become a restraining order. You should not have permitted the other TRO to become a restraining order, as that could have repercussions even now. The TRO should only last about 21 days. I suggest you contact an attorney in your area to get some advice, without knowing the allegations in the TRO, I cannot really advise you as to what you may need to worry about at the hearing.
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A domestic violence restraining order against a parent creates a presumption against that parent having legal or physical custody of his/her child, whether that restraining order sought to restrain your contact with the other parent alone, or with the other parent and the child.
It was thus a mistake for you not to have opposed the prior domestic violence restraining order application, because it appears that you allowed the mother to obtain unopposed domestic violence restraining orders against you.
If she has sought new domestic violence restraining orders against you, there is a risk that the conduct she alleges you committed against her may provide grounds for her or the county to seek remedies against you for contempt of court, as well as grounds to restrain your contact with your daughter and/or require your visitations with your daughter to be supervised by a professional visitation monitor at your cost.
You should retain an experienced Family Law Attorney to represent you.
The return hearing on the TRO was likely set within 25 days of the date of the TRO, and it is unlikely that you or an attorney could advance that hearing, given the state of congestion of the Court's calendars.
Your Family Law Attorney would need whatever time is available to prepare for the domestic violence restraining order hearing, including reviewing the prior domestic violence restraining orders, reviewing the application for the new domestic violence restraining orders, preparing your testimony, preparing to cross-examine your daughter's mother, interviewing witnesses to the alleged events, etc.
Please note that this answer does not constitute legal advice, and should not be relied on, as each situation is fact specific, and it is not possible to evaluate a legal problem without a comprehensive consultation and review of all the facts and court pleadings filed in the case. This answer does not create an attorney-client relationship.