This is the 8892nd most frequent Turkish word.
sunuculuğunu
"The act of hosting or presenting."
The word 'sunuculuğunu' refers to the role of hosting taken on by Ayşe in this sentence.
Bu akşamki etkinliğin sunuculuğunu Ayşe üstlenecek.
Ayşe will host this evening's event.
'Sunuculuğunu' in this context represents the act of hosting the event being performed by Ali.
Ödül töreninin sunuculuğunu Ali yapacak.
Ali will host the award ceremony.
Here, 'sunuculuğunu' signifies the hosting responsibility tied to the program.