"He will hew to the line of right, let the chips fall where they may" is a quote from

Roscoe Conkling

It's a misquote of the phrase "Let the cards fall where they may" which refers to one's fortune being told by a tarot card reader. The card reader generally asks her client if he has any preference in how she would lay the cards out and this was the usual response.

"Chips" refers to chips of wood. This phrase also uses the image of a person chopping wood and letting the chips fly everywhere instead of trying to be neat and chop on one side so they'll fall in a pile.

At any rate, the idiom means "let things happen the way they are supposed to happen."

Four Star Playhouse - 1952 Let the Chips Fall 4-3 was released on:

USA: 20 October 1955

show him you're way more fun and just be yourself. Let the chips fall where they may. Dont over-do it, just let him know he can trust you

Yes, expectations are important in determining success or failure. You should never, however, set your expectations way too high or low. Simply be yourself and let the chips fall where they may.