That's because emilia doesn't remember about the first timeline and that Francois hurt her . I think she didn't notice that Liliana is avoiding him but just don't wanna take bitter medicine. She is just worry about her lil sister that's why she is forcing medicine even tho she doesn't likes it and is uncomfortable . It's just like a parent trying to give medicine to their child who doesn't like it .

I’m only a few chapters in but Emilia is highkey pmo so bad. Like her little sister is clearly uncomfortable and desperately trying to not take the medicine and avoid the man who caused her so much pain in her past life but she goes as far as to force the medicine to her lips, despite her sister clearly making a big fuss over it