in a choked voice; with a choked voice
Describes speaking while one's voice is constricted by emotion, such as sadness, anger, or being deeply moved.
She said goodbye in a choked voice.
With a choked voice, he expressed his gratitude.
From 声 (voice) + を + 詰まらせて, the te-form of the causative of 詰まる (to be blocked), literally 'making one's voice become blocked'.