To retrieves all the issues where Secure Form is submitted you can use Secure Form issue Property with JQL.
This issue Property works fine with JQL Queries and It will only show those issue where you have view permission.
issue.property[SecureForm].Status ~ 'submitted'
In JQL, you can run above query with any JQL query, and it will return all issues where secure form is submitted and have a property with SecureForm status=submitted.
Example: If you want to filter out all the issues that is created today and have Secure Form Submitted then this JQL Query can help you.