"desperately seek" is a correct and usable phrase in written English.
It usually implies a sense of urgency or desperation. For example, "The stranded hikers desperately sought shelter from the storm."
He doesn't desperately seek approval.
Both desperately seek a back-on-track finish.
Others desperately seek out reporters willing to hear tales of crimes unpunished.
Now, she said, that has changed, as infertile couples desperately seek children.
That actually constrains people's behaviour because they so desperately seek approval and therefore have to conform.
It actually hurt to watch him desperately seek assurance from Dryden.
As they gradually lose the control they so desperately seek, they have little choice but to ensnare loved ones".
Why did billionaires desperately seek more money even when there was nothing they wanted to do with it?
We consider ourselves patriots as we desperately seek to end the catastrophic and immoral occupation of Iraq.
Why does a religion that has been countercultural from its inception so desperately seek to be culturally relevant?
It is the insensitivity of family members and couples that spurs thirtysomething women to desperately seek husbands.
