What does the cryptic crossword clue "Showing arrogance, paid sportsman perhaps duly sacked (7)" mean?

The wordplay uses a charade (building blocks). anagram of PRO (synonym="a paid sportsman") + DULY (synonym="DULY") = PROUDLY The answer is PROUDLY.

Showing arrogance, paid sportsman perhaps duly sacked (7)

Guardian Cryptic #29256 | 19 Across | 2023-12-18 flower