Looking on the internet deeply has found these results:

distrust of is the most popular phrase on the web.

distrust in 160,700 results on the web	distrust of 1273,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
There was distrust in the minds of the depositors, especially those whose holdings were small, and most of the banks were, at a very early period, subjected to�... But the following writers use distrust in its more conventional sense�i.e., in reference to lack of trust based on experience or reliable information: There's plenty�... Based Decision Look up distrust in Wiktionary, the free dictionary. ... "The Value of Distrust in Computer Definition of distrust in English: noun. [ mass noun ]. The feeling that someone or something cannot be relied upon: the public's distrust of politicians. Making Groups". 43rd Annual Hawaii International�...	There can be no doubt that distrust of words is less harmful than unwarranted trust in them. Historically there has been an element of distrust between turtle�... Examples of DISTRUST. He has a distrust of doctors. �... But, from the national distrust of system, it has not been elaborated into a consistent metaphysic, but is rather traceable as a tendency harmonizing with the spirit�... Lack of trust or confidence: listened to the sales pitch with distrust. tr.v. dis�trust�ed , dis�trust�ing, dis�trusts. To have no confidence in; doubt or suspect: I distrust�...

distrust in

160,700 results on the web

distrust of

1273,000 results on the web

More popular!

There was distrust in the minds of the depositors, especially those whose holdings were small, and most of the banks were, at a very early period, subjected to�...
But the following writers use distrust in its more conventional sense�i.e., in reference to lack of trust based on experience or reliable information: There's plenty�...
Based Decision
Look up distrust in Wiktionary, the free dictionary. ... "The Value of Distrust in Computer
Definition of distrust in English: noun. [ mass noun ]. The feeling that someone or something cannot be relied upon: the public's distrust of politicians.
Making Groups". 43rd Annual Hawaii International�...

There can be no doubt that distrust of words is less harmful than unwarranted trust in them. Historically there has been an element of distrust between turtle�...
Examples of DISTRUST. He has a distrust of doctors. �...
But, from the national distrust of system, it has not been elaborated into a consistent metaphysic, but is rather traceable as a tendency harmonizing with the spirit�...
Lack of trust or confidence: listened to the sales pitch with distrust. tr.v. dis�trust�ed , dis�trust�ing, dis�trusts. To have no confidence in; doubt or suspect: I distrust�...