Rotation:  For single targets, hold Legion Arrow.  If you have multiple bosses together, hold Stinging Shot.  Spam Boomerang Arrow when your Fury is above 5 points.  Be careful not use up all Boomerang Arrow charges and have it go on cooldown.  But if that does happen you can fall back on Freeze Arrow until it's available again.  Apply Rebounding Shield and Toxic Gas Arrow every 6 seconds or so.  Use the sig as soon as it comes off cooldown and be prepared to spam Boomerang Arrow almost as fast as you can.

Note on Infinity Gem Infusion procs:  I'm stacking +all skills on TM now to take advantage of gem infusion nodes.  They're pretty great on TM since dumping spare points in a stat is less than half as effective for him as other heroes.  Tons of testing confirms they are giving him the most dps for me.  Don't just copy this build and apply points to those nodes exactly as it does.  Look at your attributes window and stop applying points in an infusion node when its cap equals your in-combat attribute amount.  If that doesn't get you to 150 in a gem then you put points in the attribute node for that gem.

This has become my favorite build to play in patrols across all the heroes I play.  Every hit of Stinging Shot and every DoT tick is generating  Fury with no cooldown (sadly Pendragon Slice only generates 1 point of Fury or else I'd have a new hybrid build).  This lets you spam Boomerang Arrow very quickly; as fast as you can press the key when fighting multiple bosses in patrols.  Freeze Arrow is used situationally when you want to stun a pack or you've accidentally used up all Boomerang Arrow charges and gotta spend that Fury.  I use Jessica Jones to tank for me.  TM can die pretty quick if you're not keeping your distance.  The area clear of this build in terminals is probably the best TM can do.  You even have the option of swapping Freeze Arrow or Stinging Shot for Deadly Volley if that floats your boat.

When holding Stinging Shot on a pack of bosses and spamming Boomerang Arrow as fast as my finger can go, this build does a TON more damage than the ttk below suggests.  Boss packs just melt.

2:14 cosmic dummy ttk