Here is how it goes: Round 1:
Faramir, BoQ vs.
Gollum, StinkerFP has the first action:
only available actions are:
1) Wound Faramir to make Gollum roaming
2) Take Pippin into hand for no effect
3) Put on the ring
4) Pass any action
Let's say the FP chose option 1). Gollum is now roaming.
Now its SP turn. Only available actions:
1) Use
Not This Time2) Pass any action
Let's say it's option 1). Now Faramir is wounded and exhausted.
Now FP's turn for action:
1) Put on the Ring
2) Take Pippin into hand to kill gollum
3) Pass
FP chooses 2) and kills gollum.
If that was not the order of actions taken, please correct me. I hope this helps.