In a deprecatory manner; with disapproval, apology, or earnest protest.
From deprecatory (adjective, from deprecate + -ory) + -ly (adverbial suffix). The -ory suffix is a variant of -ative used in some formal words (like 'satisfactory,' 'laboratory').
The -ory ending is older and more formal than -ive (think 'sensory' vs. 'sensitive')—using 'deprecatorily' instead of 'deprecatingly' makes language sound more scholarly or literary.
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