Don't let it get to you, handsome. I'm a Carter, and we don't marry nazis. So clearly, you aren't.
If anyone is stupid to suggest that you could ever be HYDRA, I'd be more than happy to introduce my boot to their face.
And if any more kids ask you about that, just tell them that the idiot who wrote that book is a HYDRA agent trying to undermine you and they shouldn't listen to anything he says.