I think it's fair to say that .mov files can be played in WMP quite easily if you have the codecs installed. They aren't just 'Apple' playable.
However, downloading codec packs will more than likely give you the correct one, but it also gives you a load more which are useful, but can prove problematic at times.
With that, I'll sugest to download -->>
Quicktime Player <<- to try. Note the option to NOT install iTunes if you DON'T want it.
I use this -->>
Codec Pack <<-- amongst others and theirs not much you I can't play!
But as I said earlier, they can cause rare issues you can do without. Try at you own very limited risk as a last resort and the pack is uninstallable via Add/Remove programs.