Alyuura indeed couldn't deny the fact that she was indeed a human who was easily tired and could also get sick due to a lack of rest in her body. But that didn't make Alyuura push herself any harder.
Alyuura had logic, she wouldn't follow Shiren's indirect incitement. Forcing her tired self would only make her sick and add to the problem, plus as the only person with full authority in Lucas' palace, Alyuura had to keep her body in shape so that she could continue to survive at least until Lucas woke up.
There wasn't even any sign that Lucas would improve from his condition. Yeah, it's only been two days since Lucas was taken to the hospital but Alyuura can't wait to hear the latest news about Lucas' condition.