She goes to work for the Ministry of Magic in the Department of Magical Law Enforcement.
Date based on her entering Hogwarts in 1947, which is based on her birth year, which in turn is based on her statement to Umbridge in OP15 that she'd been teaching at Hogwarts for 39 years. Rowling's writing on Pottermore provides the amount of time between when she left school to when she began teaching.
Minerva McGonagall leaves Hogwarts
Date June, 1954
Certainty Inferred from canon
Location in Canon OP15: The Hogwarts High Inquisitor Pm: Pottermore
Type of Event Wizarding world
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