You came up with initial identification, analysis and responses of project risks. But you found one new risk arises because of implementing already planned response for a risk.
What to do with the new risk?
The new risk is called as ‘Secondary risk’. Secondary risks should also follow the same process like qualified, quantified and responses planned for them like in original risk.
Definition from PMBOK® Guide: Secondary risks that arise as a direct outcome of implementing a risk response.
In some cases, secondary risks remain after responses. They all all accepted for which the contingency plan & fallback plan need to be prepared.