The term 'ask desperately' can be broken down into three crossword solutions: BEG, PLEAD, and IMPLORE. BEG is a verb meaning to ask for something in an urgent or humble way. PLEAD is also a verb meaning to make a passionate and earnest request. Finally, IMPLORE is a verb meaning to BEG or PLEAD for something with urgency and emotion. All three words are synonyms for asking desperately, which is to make a strong and urgent request.