As someone said upthread, just because a mother doesn't want contact doesn't mean that she is in the right.
Sometimes people are so bitter about their ex that they lose sight of what matters, and for most children that is a healthy relationship with both parents.
In your relative's case, OP, I suspect that the court will, before going any further, order a fact finding hearing. At that hearing, your relative can put forward each and every allegation, set out in a prescribed format (google Scott Schedule), and each party gives evidence about that allegation.
The judge will then make a finding of each individual allegation and if he or she finds that there is sufficient evidence to uphold those allegations, will make a finding of fact judgement and that means that within the later contact application, everyone involved knows what is found to be the truth (eg that he battered the door down whilst she was holding the child, hit her, whatever it may be), and he can't deny that within those contact proceedings. Equally if the court finds that the mothers version is untrue, she can't raise it in those proceedings.
There is a risk of a change of residence if the mother doesn't comply with an order after all investigations have found that the father is not a danger to the child.