Amelia had to camp in the middle of the woods with her guards because they needed some rest after they found the new trace of the king in the end of the waterfall.
She honestly could not sleep because of the thought of Augustine getting lost alone somewhere keeps her mind busy with concern and anxiety.
She knows Augustine is a grown up strong man. She also knows he is the king and a very smart one. She isn't underestimating him or anything like this but the fact that he is literally her only family and her little brother is what's making her not able to sleep.
The first thing she did after having break was to keep looking for any new traces that can lead her to Augustine.