"enjoy the trust" is correct and usable in written English.
You can use it when you want to express a feeling of pleasure or appreciation for the trust someone has placed in you. For example, you might say, "I'm so grateful for your belief in me, and I'm really enjoying the trust you've placed in me."
Banks insist that they enjoy the trust of the markets and will be able to raise the cash they need.
Surveys suggest they enjoy the trust of citizens.A business group has set up a monitoring system, collecting data to compare security in Monterrey's nine municipalities.
He believes the public are right to think the entire political system is "not fit for purpose" because it does not enjoy the trust of the public, and politicians need to "work out pretty sharpish" what to do about it.
Because mentors enjoy the trust of families, they often get more truthful information about home life than public agencies, and they can use their influence to encourage parents to sign up for parenting classes, home safety programs, or services for addiction or domestic violence.
Kate Forbes, MSP for Skye, Lochaber and Badenoch, said: "The Crofting Commission, like any public body, must enjoy the trust of those it is working to serve and, sadly, the disputes over the past few months have been a cause of concern for those who want to support the crofting community.
But numbers aren't the whole story: the police and judiciary can be effective only if they earn and enjoy the trust and cooperation of communities.
Most EU leaders value having a member who enjoys the trust of the American president.
It is a question not of power but of confidence and of the value the Soviets set on enjoying the trust of the world.It will not be very difficult for the Soviet Government to begin the reconstruction of confidence.
Equally important, Mr. Müller enjoys the trust of Mr. Winterkorn as well as Ferdinand Piëch, the demanding chairman of the Volkswagen supervisory board who also happens to be a scion of the Porsche family.
And when Shaun Donovan, the secretary of housing and urban development, said in an interview that he supported the right of gay couples to marry, a senior administration official said Mr. Donovan enjoyed "the trust and respect of the president".
