Enervating Mist vs Silent Wobby, which one is active?
From the ruling on Enervating Mist I see the following, emphasis mine:

If &quot;Enervating Mist&quot; and &quot;Infinite Cards&quot; are both active, whichever effect resolved last is dominant.

So yes, it will depend on the order of activation (and thus, order of resolution) which effect takes place.
A related fact is the &quot;negative precedence over positive&quot; rule (as in MTG IIRC). This means that if an effect says that someone can do X, and another effect says that someone cannot do X (they contradict each other), the cannot takes precedence over the can.
This is not the case for the specific cards you mentioned, but is worth mentioning nonetheless.