This question already has an answer here:
So SEDE requires a captcha for anonymous users. Fair enough, though it'd be better if they didn't log you out all the time...
Anyway, it doesn't actually show the captcha it requires, not even the textbox so you can guess randomly.
[blocked] The page at 'https://data.stackexchange.com/stackoverflow/query/new' was loaded over HTTPS, but ran insecure content from 'http://www.google.com/recaptcha/api/challenge?k=6Le5RMESAAAAAC3mP6gGby1lVHSG3GM0fc0wrvES': this content should also be loaded over HTTPS.
So how about making this page properly all HTTPS?