What does the cryptic crossword clue "Conquistador outside university with a new mistress (9)" mean?

This cryptic clue uses wordplay to arrive at the answer. Visit the page for progressive hints — definition, wordplay type, and a full step-by-step explanation.

Conquistador outside university with a new mistress (9)

Times Cryptic #29245 | 26 Across | 2025-06-02

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I haven't cracked this one yet — but the brilliant team at Times for the Times have:

CO(U)RTES + A + N.

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