The clue answers are as follows:
1 AROUND THE CORNER 2 ORANGE SODA 3 UNTIDY 4 DINED OUT 5 ARNOLD PALMER 6 WRAP 7 RARE 8 GRATIN 9 ARGUE 10 IBERIAN 11 USED 12 TRENCH 13 REDECORATE 14 SEGUE 15 LYLE 16 ROD CAREW 17 SWAP 18 CRASS 19 NAMABLE 20 ARC 21 MANTA RAY 22 FACIALS 22 FOSSIL 23 ARREST 24 FIESTA 24 FUND 25 UNDER PAR 26 KIKI 27 MYSTERY 28 GAELS 29 AHEM 30 KNEEL 31 THE MIKADO 32 REPLICA 33 AIRPARK 33 ACRE 34 LIST 35 CHAPTER 36 HAPPY JACK 37 PYRE 38 JANE EYRE 39 NENA 40 ELIAWhen they are entered into the grid, most of the squares are used exactly twice. If you highlight the ones that are only used once -
- you get the clue TEN BELOW BOILING IN C, which is NINETY DEGREES, the answer to the puzzle.
Training:
Or it would be, if there weren't a training puzzle involved. References to "examination", "how to treat this", and "a turn for the worse" suggest a medical theme, which indicates that the "Doctoring" training puzzle is needed. The answer to that is HALVE, so the real final answer is FORTY-FIVE DEGREES.