The phrase "undermine the trust" is correct and usable in written English.
You can use it to indicate that something has caused trust to be broken or weakened, either between two people or within a group. For example: His behaviour undermined the trust between them and they eventually split up.
Doesn't that undermine the trust he seeks to develop between the parties?
That can undermine the trust factor between player and coaching staff.
By refusing to pay its basic obligations, Washington would undermine the trust that lenders require to buy government bonds.
"This kind of event does clearly undermine the trust between the Afghan government and ISAF, and more important, between the Afghan people and ISAF," General Petraeus conceded.
Even if the attackers were merely posing as Iraqi soldiers, since uniforms can be easily bought in stores, the episode could further undermine the trust of the population.
This would undermine the trust in the legal system at large, diminish reporting, and possibly make the Stanford community a more dangerous place for all," the letter said.
In addition to in effect authorizing racial and ethnic profiling, it threatens to undermine the trusting relations that many police departments in Arizona have built with immigrant communities.
Biden said that the move "undermines the trust we need right now".
"It also undermines the trust required for any administration to negotiate trade agreements in the future".
Biden condemned the decision as undermining "the trust that we need right now" in order to have profitable negotiations.
"The conduct alleged here jeopardized public safety and undermined the trust the public places in law enforcement and the State Police," the statement continued.
