There is an interview with Shazad Latif in which he said this:
It sounds like Tyler will be Burnham's love interest. Or do you think it means something else?
He’s gone through these horrible, horrible things. We explore that, and he explores that with other people in the ship….[With Captain Lorca] There’s a military connection there. There’s a bond there. And then there’s a chemistry, a relationship with [Michael] Burnham that he’s exploring.
It sounds like Tyler will be Burnham's love interest. Or do you think it means something else?