You use deservedly to indicate that someone deserved what happened to them, especially when it was something good.
例句
He deservedly won the Player of the Year award...他理所应当地获得了年度最佳球员奖。You will have to book well in advance for this deservedly popular hotel...这家备受欢迎的旅馆可谓名不虚传，你需要早早预订。
英汉词典释义
adv.
应得地;当然地
He was deservedly dealt with.他受到了应有的处分。He deservedly earned the admiration of his colleagues.他理所当然地得到了同事们的钦佩。
英英词典释义
Adverb
1. as deserved;
"he chalked up two goals which deservedly gave Bolton their second victory of the season"