Nope.
Remember that “American journalist” in jail in Iran?
He had dual citizenship US/Iran. Iran was perfectly within their rights to treat him as any other Iranian would be treated...because he is Iranian.
So too could your daughter be treated as a British Subject...and that is within the rights of the UK to do so...because she is also a British Subject.
A law is required to make her a US Citizen. Natural Born Citizens require NO LAW to be citizens, they are US citizens by nature.
No other nation can make a claim upon them. Natural Born Citizens are born in the US of US citizens. No law is required to make them citizens BECAUSE they are citizens, by Natural Law.
Nope. She IS a citizen and all she had to do was to be born.
So too could your daughter be treated as a British Subject
Of course the British would treat her as a British subject if she went back there, just as she's treated as an American citizen here.