As others have suggested, I would recommend trying both of those options at a range where you can rent them. I would also emphatically recommend 9mm in either of those choices.
The Shield 9mm is a nice little pistol, but I can shoot the Compact 2.0 much better than I can shoot the Shield in the same caliber. With a good holster and placement, the Compact 2.0 can be well carried and concealed if need be, and it seems as if that's not a primary goal for you at this time.
The Shield is only the superior option for deep-concealment and with very tight fitting clothing. So if I were picking one as a 'bump in the night' gun to be kept at home, I'd be leaning heavily toward the Compact 2.0.
But shoot them both as soon as you can, and be sure to take a professional class as soon as you can. Welcome to P-F!