It’s "cold cuts" themed!
Generally, the flavortext clues that you should be looking for altered versions of common phrases. Also, the phrase "chilling atmosphere" in the flavortext clues that these common phrases should have something to do with the cold
Looking over the main puzzle text, you will find specific phrases that stick out (all beginning with a synonym of the word cold). If you replace the "cold" synonym with the word cold and then find what the rest of the phrase means literally, you will get a common phrase that starts with the word cold (e.g. "cool solid legal tender" becomes "cold hard cash" because "cool" → "cold" and "solid legal tender" → "hard cash"). Also note that when the corrected phrases are substituted in for the original incorrect version, they make sense with the rest of the sentence.
As clued by the diagram included at the bottom of the puzzle, the extraction for the puzzle is done by taking the number of words in the original incorrect phrase (not including the cold word) to be the index number you should use on the fixed phrase (again without the word "cold").
The following show all of the phrase replacements (without the "cold" word)
| Incorrect phrase | Corrected phrase | Number of words | Extracted letter |
|---|---|---|---|
| dossier | case | 1 | C |
| 24 hours in Hades' fiery depths | day in hell | 6 | H |
| eccrine gland secreted fluid | sweat | 4 | A |
| excruciatingly toilsome versimilitude | hard truth | 3 | R |
| consolation | comfort | 1 | C |
| scapula and surrounding region | shoulder | 4 | U |
| meleagris | turkey | 1 | T |
| 0.3048 meters | feet | 2 | E |
| solid legal tender | hard cash | 3 | R |
| diurnal sunshine | light of day | 2 | I |
| cardiovascular organ | heart | 2 | E |
Reading the extracted letters in order of appearance gives the answer CHARCUTERIE.