OK, got it.
So you are promoting this field to SharePoint? When you set up the submit to SharePoint data connection you can pick fields that will be added to your SharePoint list data. Then if you use Modify Settings and Columns and Create a New View you should be able to see this authorizers field listed. So then you can make a custom view which only shows the columns you want including this field.
You may be to this point already. I am wondering if you are trying to only show the authorizor their forms that they need to approve. I am not sure that it is possible, at least easily to match email addresses. However I know you can use Usernames or aliases. You may need to add this field to your form, probably display name, and promote this and then I believe you could do the same as show only forms for a particular user such as the created by.
You would need to play around with it. If I have time I might be able to test it.