What does the cryptic crossword clue "Apocalyptic end deterred Bush, in fear of cold war (4,5,3,3)" mean?

The wordplay uses an anagram. anagram of END + DETERRED + BUSH, = REDSUNDERTHEBED The answer is REDSUNDERTHEBED.

Apocalyptic end deterred Bush, in fear of cold war (4,5,3,3)

Guardian Cryptic #24259 | 8 Down | 2007-12-13 flower