Coming to wake someone with ~に来る


Grammar Explanation

ハヤテのごとく! » Volume 1 » Page 135

As the new butler, Hayate is tasked with waking Nagi for breakfast, but he’s quickly startled by the sight of a large white tiger sleeping alongside her. Nagi wakes and notices Hayate standing in her room.

ナギ:
「あ…()こしに()くれたのか、ありがとう…」

Nagi asks if Hayate came to wake her.