What is the definition of a subsidy according to the speaker and how does this connect to the idea of not taking money from citizens?
Evidently not, as demonstrated by your own reply.  A subsidy is when the government takes money from the citizens and then writes a check to an individual or group. Not taking money away from the citizens, in words you will understand, not taxing, isn't a subsidy. You can't redefine words to establish your false equivalency argument.  Doing so is just, well, stupid and we've already established that stupid can't be fixed, haven't we.