If a 44-year-old man impregnates a young minor and wants to marry her will he still get in trouble?

In most states the age for sexual consent is 16. You could be arrested and charged with rape (it does not matter that it wasn't forced). Once that baby is born, a DNA test will prove beyond any doubt that you are guilty of the crime, and you will be convicted. In many states, even if the parents don't pursue pressing charges, the state can and may (CA is a prime example of this).