Star Trek Discovery, The Reverse Bechdel Trajectory

The reverse Bechdel Trajectory?
I love Star Trek Discovery, for now.  Episode 7 presented some problems for me and it makes me wonder about where the show is going.
For the record, I am not a big Trek universe fan.  I was largely indifferent.  Even when they had Kate Mulgrew as a captain of the Voyager (let's blow past the thread of it being about a female captain who gets her crew lost in space #womendrivers am I right?)  The movies, the tv shows, webisodes, etc all were lost on me because there was very little science or reality in them.  Many of them had deep moral lessons about racism being bad or something.
ST Discovery caught my eye because it is an exciting show with strong female characters talking about the ship, leadership, how space works, etc.  The first five episodes were simple and self contained .  Then comes Lt. Tyler.
When I first sat down to watch the show I was impressed but I told myself that the moment she went all weak in the knees over a boy, I would turn it off.  Episode 7 sent me spinning because the show was beginning to fail the Bechdel test.  Are there two women and do they get together to talk about something other than a man.
We get some glimpses of her attraction to Lt. Tyler in Episode 6 when they sit in the cafeteria and he introduces himself.  The problem is the shift in the characters.  Burnham is dealing with "daddy issues" with her adopted Klingon father who is dying light years away and even that is problematic  (maybe I will address that in another screed.).  With that and her newfound crush on this guy, she is becoming a cliche.
Her only friend on the ship, Cadet Tilly, a young cadet she was trying to mentor, has now become her mentor in that she is teaching Burnham how to loosen up and dance with boys.  Cadet Tilly just says things like "the new guy's cute" and concocts sitcom-ish ways to leave them alone.
The rub for me comes in the premise of Episode 7 where the ship is caught in a time loop and only one officer is aware that there is a dangerous criminal on board who keeps taking over the ship and killing the crew.  The officer has 30 minutes each loop to convince Burnham to help him stop the criminal.  She, in turn has to convince Lt. Tyler to help her.  The only way to do that?  Not by coming flat out and telling him that there is a dangerous criminal on the ship and they need to stop him.  Lt.Tyler IS the security officer, after all.  No, apparently the only way to do it is to get him to like her and trust her... and dance with her.

The show still passes the Bechdel test overall, but can this become more problematic?  Considering the fervor over it being picked up for a second season, one could assume they never expected to have a second season so they were trying to cram everything into one season to show off.  So, in a sense, they had to introduce a love story.  It was a bit ham fisted and trite for my taste.  The show has created a character that is really impressive and Sonequa Martin is bringing a great deal of life to the role.
Still, I don't think we have seen the end of this arc and, if it leads to her character doing something dangerous and unbelievable, for the sake of a boy, then I fear the show may lose me.  Female characters who stand strong on their own, especially in sci fi, are few and far between and the quickest way to get me to change the channel is to have them do something stupid for a man.

Barbara Lee.