This is the 12361st most frequent Turkish word.
hayretle
"With astonishment" or "in amazement."
In this sentence, 'hayretle' is used as an adverb describing the manner ('with amazement') in which the action of watching takes place.
Hayretle onun başarısını izledim.
I watched his success with amazement.
Here, 'hayretle' modifies the act of looking, stressing the emotional response associated with this action.
Hayretle içli dışlı olan bu duruma baktım.
I looked at this situation, which was deeply interconnected, with astonishment.
Again, 'hayretle' emphasizes the emotional state of astonishment connected to the act of looking in an iterative scenario.