"mild reproach" is a correct and usable phrase in written English.
You can use it when you want to express gentle yet firm criticism in a non-confrontational way. For example, "He looked at her with a mild reproach for not following the company policy."
The wage explosion has drawn a mild reproach from the International Monetary Fund, which keeps a watchful eye on Britain, its biggest deb tor.
The chopper!" She stood back and regarded him with tight-lipped, mild reproach, like a mother gazing upon an unbiddable, scalawag son.
When conservatives blow up our fiscal position with their tax cuts, the deficit hawks are silent - or, at best, mumble a few words of mild reproach to have something on the record - and let the budget wreckage happen.
Support for the monarchy as an institution has hit record lows in the six months since Haakon and Mette-Marit, both 28, moved into an Oslo apartment with Marius, prompting a mild reproach from the state church.
In aligning with Trump and overreacting to stuff like the mild reproach of a razor company commercial, conservatives have painted themselves into a corner, forced to defend the very type of male behavior ― uncouth, unrestrained, violent and sexually aggressive ― they once viewed as the antithesis of authentic masculinity.
Yesterday, the Heat's Dwyane Wade offered a milder reproach, saying that he "respectfully" disagreed with his rival shooting guard.
Other candidates — Jeb Bush, Marco Rubio — offered milder reproaches to the rulings, but the prevailing sentiment on the right is one of retribution.
So the view that the President was articulating the other day in the "that" speech wasn't even a mild and "acceptable" form of social democratic reproach; it was the root foundational view of the free market as its greatest apostle imagined it.
The cast is beyond reproach.
The firewall is beyond reproach.
