Problem Solved! I updated from iPadOS 16.2 to 16.3 and the selector to enable Touch ID was in the settings for mSecure when is was not before (on multiple checks under multiple circumstances).
I'm not sure why the Touch ID setting wasn't present before the iPad OS update, but it's great to hear all is working now. Please let me know should you need further assistance.
How do I restore touch ID capability to my iPad?
Just today, the Touch ID on my old iPad (Pro gen 2 running iPadOS 16.2) does not recognize the iPad's Touch ID. Touch ID works on other apps. I am able to log into mSecure with my password but there is no option in mSecure of my iPadOS settings to enable Touch ID for mSecure. I did power cycle the iPad as well.
My mSecure on my iPhone 14 works just dandy with Face ID.