And shortly after getting a significant reprimand for insubordination from her commanding officer, no less. Not even accounting for the many other oddities on her record, such as her return to Starfleet only being due to a sketchy pardon she got while on her way to prison for an act of mutiny that started a war.Not to mention that Burnham's lucky to even be considered at all being from 900 years in the past. This would be like us granting captainship of a modern military prototype submarine to a Byzantine Empire general, which would be controversial no matter how much catching up they did.