If anyone is in mortal danger, it is her. You can argue Woody Harrelson is also on the short list but he dies a lot in films nowadays so that would be par for the course. Clarke's Qi'ra could be the emotional attachment that Han develops and loses which causes him to turn a cold shoulder to most he meets in the future. She seems to already know Han in the trailer and absolutely sees though his bullshit.
Trailers are supposed to peak my interest in what the film is bringing to the table. Showing me characters who are 100% safe does not really stir my excitement or make me wonder what will happen next. Emilia Clarke, while playing a character we know little about, is highly recognizable and rather admired due to her work on Game of Thrones. We want to know Daenerys will be safe. It's silly but we care about this kind of stuff. We carry over other media and associate. Again, it's silly but there you have it.
If the trailer would show Qi'ra in some danger and Han in distress as a result, then at least I would be legitimately concerned. This can also fall into the category of the trailers showing too much though. It's a hard line to walk. I would chance that against a response of indifference though if we are picking swords to fall on.
The fate of Solo is known. No mystery can be explored there. The inner workings of the man are the real stakes and for that to be up on the pedestal we need to be invested in those around him whom we do not know the fate of. As he cares, so do we. This film needs us to care about more that what we already did. The trailer fails in doing so. Let's hope the film does not.