I can see where there is play - its where the shock mount at the drop out end mounts to the frame - theres a micro amount of play in that bushing it seems.
Now next question is: is "this" normal?
No it is not normal and I suspect that new DU bushings, eyelet reducers and maybe a new shock bolt is required.
If you have a bushing removal tool (they aren't expensive) its a 5 minute job to change the bushing and press in new reducers.
Play can also develop between the bolt and the reducer or the reducer hole become ovalised which can also cause similar amounts of play.
When you reassemble it is also worth checking that the reducers are moving in the shock bushing (as they should) rather than the reducer moving on the frame. This can happen if you do a lot of wet weather riding as the reducers lock it the bushing.
To check the above put a small line accross the interface of the reducer and frame with a permanent marker and with a soft shock check that the line s stay relative as the rear is compressed.
I hope that helps.