### UPDATE:
We've blocked Autobiographer from appearing in the recent badges list network-wide so I've removed the general block of bronze badges described below. For more information on the changes that made this possible, see my answer to the Meta Stack Exchange request to block Autobiographer.
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We don't have a way currently to remove a specific badge but we do have a built-in way to remove a type of badge - by class (gold, silver, bronze). As such, I've just removed all bronze badges from appearing in the right sidebar "Recent badges" section to address this issue.
We're still looking at what we can do about the actual issue with the spam profiles but this should, at least, make them much less visible and still allow y'all to appreciate the achievements of others on the site.