Stick to your guns. Your first obligation is to your daughter, and you have every right to simply follow the parenting plan, which I assume is in a court order or divorce decree, or included by reference in something signed by a judge. She has no threats that she can make good on, because the court will back you up.
That very limited visitation tells me that your ex-wife did something pretty bad to your daughter, and I'd work from the assumption that limiting visitation to 2 hours at a time is something that might be really necessary for your daughter's protection.