This is the 4882nd most frequent Spanish word.
deseado
Desired.
In this sentence, 'deseado' functions as a past participle used as an adjective to describe 'el regalo' (the gift), indicating something that was wished for or wanted by someone.
El regalo deseado finalmente llegó.
The desired gift finally arrived.
Here, 'deseado' is used as the past participle in a perfect tense construction (ha deseado), denoting an ongoing wish or desire of the subject (Ella) over time.
Ella ha deseado visitar París desde que era niña.
She has desired to visit Paris since she was a child.
In this example, 'tan deseado' emphasizes the high level of desire or longing associated with 'el premio' (the prize), again serving as an adjective in the phrase.