Tarantula hawks tend to be very "curly", with their antennae forming loops. Paper wasps tend to spread their wings like that, and aren't as "curly".
Thread below.
Often times, the loudest people, or the most common replies seem to be correct.
Often times, we skip this step to focus on the cool facts about the biology...but we're always happy to justify our IDs.
For instance, here is a fairly standard 'tarantula hawk' wasp. Note the long legs, curled antennae, and how she holds her wings.
flic.kr/p/28kCLU5
This one more closely resembles Chrissy's wasp.
flic.kr/p/TWmVqQ
So these are the reasons why the entomologists knew pretty quickly that this was not a tarantula hawk.