There is no *perfect anagram of the phrase:

Blowzy night frumps vex'd Jack Q.

* Rules for a perfect anagram:

Must use each of the letters in the original phrase with no omission.
Must not add any letters or use any letter more times than it appears in the original phrase.
Must form a complete sentence that makes sense.
Must spell all words correctly according to a single standard dictionary (If you use Brit spellings, all words must be Brit, same for US variants.)
Pnctuation marks may be added or omitted, although an ideal perfect anagram would use no punctuation other than the period at the end. (The original phrase is not the ideal.)

Hint: a complete, but not perfect, anagram is:

abcdefghijklmnopqrstuvwxyz

but it doesn't say anything.

John