I've raised with you before some concerns that I felt about your attitude toward the father of your child, and I've pointed out how that attitude may damage your case. This most recent post has really done very little to alleviate the same fears that I had before, so I'm going to be fairly blunt here, and I apologise in advance if you take offence, it is not my intention, I am merely trying to help you change your perspective for your own benefit.
So, first, please understand that in saying that you "allow" the child to spend time with her father, it implies you want praise for "allowing" your daughter to enjoy her legal right to have a relationship with him. Anyone who thinks they are in a position of such power to allow or deny someone the freedom to enjoy their legal rights, rarely wins favour in a Court of law, even less so when they think such an attitude deserves praise, and less again when they want praise for "allowing as much time as necessary".
It is also folly to imply that the child's time with her father, whether ordered or agreed, is just for his benefit. I am certain it would be for his benefit, but as far as you are concerned, or should be concerned, it is more importantly for hers.
Given the context of your previous posts, as well, it does not surprise me that the father would tell you, threaten you, whatever, that he wants more time with his daughter. You've asked this forum questions about whether he, the biological father and co-creator of that child, has any legal right to pursue time with his kid, simply because he's not on the birth certificate. You also inquired as to whether you should abscond with the child to New Zealand without her father's consent. Here, you're asking about the interpretation of an order regarding just one single hour of additional time for the child to spend with her father on his birthday.
It's very clear to anyone with the ability to read that you think your daughter should not enjoy the benefits of having a meaningful relationship with her father. I can't imagine how the father would be able to avoid taking this impression from you, I can't imagine how he would not have concerns that the child's relationship with him would suffer a result of your overt desire to oust him from her life, and frankly, I can't see how he could hope to have that concern resolved without going back to Court. The natural consequence of the impression you give is that he would like to spend more time with his child, to make sure that meaningful relationship is entrenched and not ruptured by your inability to understand the damage you do to your child by frustrating her time with her father.
Saying you are willing and flexible amounts to very little in Court when there is evidence that shows you haven't been willing or flexible at all. Willing is not inquiring about abduction to another country. Willing is not leaving the father off his child's birth certificate. Flexibility is not having to ask for an interpretation about a single hour of time for the child to spend with her father on his birthday. What kind of evidence have you given the father to produce to the Court, if this is the kind of evidence you've produced just in this forum?
Again, I apologise if this is blunt. I am fed up to the teeth with seeing parents lose custody of their kids because they don't understand how their own attitude is hurting their child and their case. Please, for your own sake, have some perspective and think very carefully about how your actions can be interpreted by the Court.