Trust involves self-reference while risk arises from our own choices [definitional]
The case of trust is very different and requires quite another type of self-reference. It depends not on inherent danger but on risk. Risks, however, emerge only as a component of decision and action. They do not exist by themselves. If you refrain from action you run no risk. It is a purely internal calculation of external conditions which creates risk. Although it may be obvious that it is worth while, or even unavoidable, to embark on a risky course — seeing a doctor, for instance, instead of suffering alone — it nevertheless remains one's own choice, or so it seems if a situation is defined as a situation of trust.
Builds on: "Risk, unlike trust, depends on one's own prior conduct."
Diego Gambetta, Trust - Making and Breaking…, loc. 1398