Can an opponent play a reaction card (like Stupefy) in response to a 'when you play me' triggered ability on a unit (like Faithful Manufactor)?
Answered under Unleashed Rules FAQ and Clarifications
Yes. An opponent may play a Reaction (for example, ) in response to a triggered “When you play me” ability from a unit like . However, the Reaction can only affect legal targets that exist at the time it is played — it cannot target or change the token that the trigger will create until that token actually exists. If the Reaction makes the trigger's instruction impossible to carry out when the trigger resolves, that instruction will be ignored as appropriate.
An opponent may cast a Reaction while the triggered “When you play me” ability from is on the chain (i.e., in response to that trigger) . They may only target objects that legally exist at the time they play their Reaction; they cannot target the 1 :rb_might: Recruit token before it is created. If, by the time the trigger resolves, its instruction has no legal targets or cannot be executed, that instruction will be ignored or the parts that cannot be executed will be ignored per the usual resolution rules .
Citing

