Writer unlikely to be Jack Schiff, who did DC's PSA from 1949-1967
but is not known to have worked on any All American titles prior to their
merge with DC. Probably an AA staffer.
Ted Udall was on the AA staff in 1942-3, wrote a lot of the AA
fillers, and would have been familiar with Wonder Woman, so he's a
likely suspect.
Another is (the future) Dorothy Woolfolk, who was also staff around
this time, and is said to have written Wonder Woman, prior to her
working on EC's Moon Girl in 47. A PSA would make sense.
Sheldon Mayer has also been identified as a potential writer of this PSA,
but the source of that credit is not known.