This is the 4354th most frequent Korean word.
특별하게
"특별하게" means "specially" or "in a special way."
Here, 특별하게 modifies the verb '만든' to indicate that the cake was made in a special way.
이 케이크는 특별하게 만든 것입니다.
This cake was specially made.
In this sentence, 특별하게 modifies the adjective '추운' indicating that the weather is exceptionally cold.
오늘은 특별하게 추운 날씨입니다.
Today is unusually cold weather.
Here, 특별하게 explains how '대접을 받았습니다' (was treated) occurred, emphasizing the special nature of the treatment.