How do I solve 15 down in Daily Telegraph Cryptic 31240?

Question

Accepted Answer

15 down reads "Suspect Lois died greatly admired" (8 letters); the answer is IDOLISED. It's an anagram clue: the answer is a rearrangement of letters supplied by the clue itself. Look for an indicator like 'mixed', 'broken', 'cooked', or 'wild', and find a phrase whose letters add up to the answer's length. The full step-by-step breakdown is on this page.

Suspect Lois died greatly admired (8)

15D — Suspect Lois died greatly admired (8) — IDOLISED