You mean a Norman ship from 1020 pulls up and tells the Admiral of the French navy what to do....
I just don't understand Burnham's and the Discovery crew's mindset. Why are they so bent on doing everything themselves? They all went through what anyone will agree was a traumatic experience, so why are they just bent on taking on more and more?
Admittedly Admiral Vance's standoffish behavior, even considering his valid suspicions, didn't help and elicited a "We have to prove ourselves" attitude from Burnham and Discovery. He should have said, "Hey guys, if what you're telling me is true, you deserve a very long break. Take a 3 month shore leave. Relax, I'll reserve a modern holodeck for you, have some tranya while we study your spore drive." Then he can quietly ask Lt. Willa to keep an armed watch on them at all times.
Even Khan got a warmer reception in Space Seed despite him doing far less than Burnham did to deserve it.
Considering the parallels to Khan's out of time situation in Space Seed, they should have done a homage:
Vance: Forgive my curiosity, Commander Burnham, but my officers are anxious to know more about your extraordinary journey.
Willa: And how you managed to keep it out of the history books.
Burnham: Safety, Admiral. Safety of the Federation. There was little else left in the 23rd century that could stop Section 31.
Willa: Section 31 was formed to stop threats to the Federation. Many considered that a noble effort.
Burnham: A noble effort? Or an attempt to restrict freedom?
Willa: Freedom? Like a team of wild animals attacking their owners?
Burnham: I know something of those years. Remember, it was a time of great dreams, of great aspiration.
Willa: A period of recklessness, including temporal. The temporal accords lists your James Kirk as a massive criminal due to 17 temporal violations.
Burnham: Think of its accomplishments.
Willa: Then your sympathies were with--
Burnham: You are an excellent tactician, Admiral. You let your security chief attack while you sit and watch for weakness.
Vance: You have a tendency to express ideas in military terms, Commander Burnham. This is a social occasion.
Burnham: It has been said that social occasions are only warfare concealed. Many prefer it more honest, more open.
Vance: You fled. Why? Were you afraid?
Burnham: I've never been afraid.
Vance: But you left at the very time the Federation needed courage.
Burnham: We sacrificed our lives to stop Control!
Vance: Control?
Burnham: Excellent. Excellent. But if you will excuse me, gentlemen and ladies, I grow fatigued again. With your permission, Admiral, I will return to my quarters.