[fortheDeclaration]

I know why Churchill was given an honorary citizenship, the point was that he wasn't considered an American citizen even though he had an American mother.

Why is Cruz considered an American?

[SunshinesStormySummerSon]

Churchill’s mother gave up her American citizenship and became a subject of the king when she married a member of the British aristocracy.

Cruz’s mother, to anyone’s knowledge, never renounced her US citizenship and thus conveyed it to her children. The issue in question with Ted Cruz is whether he is a Natural Born Citizen, one of the qualifications required to serve as POTUS by the Constitution.