Pride and disappointment.
Most people who spend quality time with her noticed.
Her maid, the prince, even her brother in law.
The one who supposedly in love with her is so blinded with jealousy didn't even realized it.
At this point, her sickness, her disappointment and her pride didn't let her to just told him.
Because if he has to be told the fact, it felt like he's only care after realizing how sick she is.

Bro, at this point what's the point of hiding that you're dying? It feels like they haven't thought about what more they want in the plot so they're dragging this out