I do believe that Commander Remilia is more than capable of defending herself and her dignity. As admirable as your loyalty to the State and your fellow officers is, I think it is best to allow her the final say and not instigate further hostilities that will not produce any practical or long lasting results beneficial to the commander or anyone else.
For those that continue to question her loyalties or position, it is pointless speculation as the only one capable of declaring those is also the one that is not being believed. Barring taking her at her word the only authorities on the matter that should have any weight on your views would be her superiors within the Caldari Navy, and the Chief Executive Panel.
Further discussion on this matter here will only continue to result in a circular debate with no conclusion and only distracts from the purpose of this thread.