This isn't a very specific task, but the biggest issue I have with badges right now is that they're inconvenient to award. This is a very minor workflow gripe, of course.
Especially with "Bug Reporter", I'm generally on a task, so I have to go find the badge in Badges and then click through to awards and then go look up the user's name since I already forgot it. This passes through a few different pages and feels like a fair amount of work.
Making the profile panel have an option to award might be a possible fix. Then I could click their name, click "Award Badge", and go from there.