"slight nudge" is correct and usable in written English.
You can use it when you want to refer to a small push or reminder. For example: "I gave her a slight nudge to get her to do her homework."
"He (Costa) is off balance anyway, he gets a slight nudge and he goes down.
Suárez went to the turf after a slight nudge from West Brom defender Jonas Olsson.
Even a slight nudge of the electorate can have an effect.
The rear doors open after a slight nudge, and the batteries recharge every time the driver hits the brakes.
Electric steering doesn't have the same feel as conventional hydraulic systems, but it taxes the engine less and therefore gives a slight nudge to the fuel-economy numbers.
Fouled Beckham way off the ball, a slight nudge, that drew a yellow card and set up a free kick on the right flank.
With the slightest nudge, heat and gravity take over, the artificial reverting to the natural.
But with the slightest nudge he agreed when his self-abnegating housemates suggested a mass walkout.
With its balance and raft of safety gear, the F-type represents a secure way to experience automotive rawness, a plush toy that can blast off at the slightest nudge.
If given the slightest nudge in the US, Kygo's first global hit is likely to take off.
When Mom was home, she always had handy a Bible story that, with just the slightest nudge, could illustrate my father's Sins from his Strong Drive In That Area (King David) to his sometimes violent Moods (King Saul).
