This is the 11749th most frequent Russian word.
задержкой
"Задержкой" means "delay" or "with a delay" in English.
The word "задержкой" is used in its instrumental case to signify the cause or mode of the action, referring to a delay.
Поезд прибыл с задержкой.
The train arrived with a delay.
The word "задержкой" is used in the prepositional phrase "Из-за задержкой" to indicate the instrument causing the outcome, though it needs correction to "Из-за задержки" as the correct case here is genitive.
Из-за задержкой в доставке товар будет позже.
Due to the delay in delivery, the goods will arrive later.
Here, "задержкой" describes the timing manner of the action, with the instrumental case denoting the characteristic way the action occurred.