Questions & Answers about La trenza de mi hija se soltó en el parque.
Both can be possible, but de mi hija is often clearer.
Su trenza can mean:
- his braid
- her braid
- your braid (formal)
- their braid
So la trenza de mi hija removes ambiguity and clearly means my daughter’s braid.
If the context is already very clear, a native speaker might also say:
- Su trenza se soltó en el parque.
But on its own, that is less precise.