"despite the desire" is correct and usable in written English.
It is an adverbial phrase used to indicate that something happens in spite of something else. Example sentence: Despite the desire to stay longer, we had to depart as our train was leaving in ten minutes.
Despite the desire to reduce the number of masthead editors, she had not done so.
Despite the desire of Unite's leadership to ground the airline, the flag will continue to fly.
Despite the desire to project its might, much of Russia's hardware is outdated and accident prone.
The American proposal is expected to total no more than 10,000 troops — or even less — despite the desire of some military officers for a larger force.
If New York can manage six local TV stations the idea that London cannot sustain one is bonkers, despite the desire of competitors to rubbish it".
"Despite the desire of human beings to believe we are very sexy, we don't have very frequent copulatory behavior compared to macaques, chimps and bonobos," Dr. Dixson said.
It is inconceivable, despite the desires of many Japanese politicians, that the Bank of Japan can put up interest rates for a long while yet; indeed the Bank of Japan is pondering whether to cut short-term rates from their present 0.5%.
This study shows that despite the desires of its inhabitants, KGR is failing to promote this shift from extensive to a more productive intensive and integrated farming; there is insufficient land available per household to enable integration of crop farming for production of fodder on a scale sufficient to meet current herd needs, compounded by the arrival of new households.
Despite these obstacles, the desire to eliminate malaria within a generation has started to coalesce over the last few years.
Despite this, the desired results were achieved.
If joint damage appears to progress despite achieving the desired target such as LDA, intensifying treatment may be needed (category IV).
