VISAINFO.SHEFO@fco.gov.uk
Okay, so that's the correct email for Sheffield themselves, not the call centre, so that's good (it's usually the email address that the decision made email comes from)
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It sounds like they needed to check into a couple of things, which is taking a bit longer than expected.
I can't remember if you said whether you sent documentation from her misdemeanour?
If not, they might be carrying out a criminal record/background check to get the info themselves, which can add a couple of weeks to your processing time while they wait for the information to come through.