Wow, that's a big coo.
I managed to find 8 shields on the first level and I felt like I had scoured the map so they must be well hidden (in plain sight) - some audio/visual feedback on picking them up would be good, or even if they disappear once found so its more obvious what to do with them.
The cow having a mind of it's own is fun (and reminds me of The Last Guardian) although it got me stuck on the second level. I left them on the first button and went through the gate, then they walked off the button and I couldn't find a way back.
Overall, I had fun though - it's an interesting idea to have to find hidden objects and solve puzzles at the same time as babysitting a glaikit cow (affectionately).