Clan wars and rewards...

In my opinion, the main thing is to clearly show which clan each player belongs to... the clan emblem needs to be displayed (where... exactly?)...

The emblem, and indeed anything else, should be placed in the player's profile. Those who are interested can click on the avatar and then navigate through the emblems or other information to find what they need. There's no need to clutter the page around the avatar with unnecessary information. Why would people who aren't interested in clan matters need it? Those who are interested can simply click on the avatar, go to the profile, and see everything they need.