The two things -bluing and hamon - are not normally combined. They are sort of opposite effects.
Depending on the method of bluing, the hamon should be fine, but the color will cover up some of the details.
You can't blue a blade and them harden it.
What is normally done is to etch the blade in FCl and then hand polish out the lower bevel (ha) to meet the hamon. Cold bluing would work similarly. Hot bluing is not usually suitable for blades, as it affects the temper.