I see. Thank you for clarifying that.
The TX authorities are likely to direct the father to the VA authorities if he wishes to pursue a complaint with child protective services (CPS) in VA who could potentially investigate the allegations. Since there is no evidence to substantiate the allegations, I would not expect any action to be taken against you by the agencies though.
In a worst case scenario, the father could file a petition for ex parte emergency custody in a TX court where he resides, alleging that the child would be in imminent danger of abuse or neglect if he returns your daughter to your custody. It sounds like that would require he lie to a court, which of course would constitute perjury, but some people still do it.
If he did do that, you would need to retain a TX attorney to oppose his allegations and prevent him from gaining emergency custody there.
Under any other circumstances though, the father would normally need to file a motion in VA seeking to modify the order of custody if he wishes to gain primary custody and that is what any TX attorney would likely tell him. Only in the most extraordinary cases could a TX court take jurisdiction over your daughter normally since that is not her state of residence.
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