It is a little hard for me to be sure exactly what is going on in the quote, mostly likely because it is a translation of a paraphrase. In the original it is probably much easier to discern each statements meaning.
"Minister: We should not take the accusations of a mafia leader seriously."
As translated, this is an example of the Ad Hominem Fallacy (Attacking the Person). The minister is claiming the accusations are false because of who made them, not because there is evidence the government officials are innocent.
However, if you replace 'of a mafia leader' with 'of the mafia leader', then this is possibly not a fallacious statement. The phrase 'the mafia leader' could be used to identify the accusations in question rather than provide a reason for why the accusations are false. If this was the minister's intention, they probably should have used the phrase 'of Sedat Peker' instead.
I think it is very likely that the first interpretation is what the minister meant, but I don't want to falsely accuse someone of making clearly fallacious statements just because the translation I was reading had a slight grammatical error.
"Journalist: But, millions of people watch his videos."
Most likely, the journalist was claiming that because the political beliefs of a population should always be considered by their government, the fact that a large proportion of the Turkish population takes these accusations seriously implies that the Turkish government should also take these accusations seriously.
Alternatively, the journalist was claiming that the reputations of government officials are important, so the government must in some way address the videos produced by Sedat Peker even if they contained only misleading propaganda.
This statement could also be interpreted as claiming the accusations made by Sedat Peker are true because a large number of people believe that they are true, as indicated by his videos receiving a large number of views. That would make it a text-book example of the Appeal to Popularity Fallacy.
"Minister: Millions of people also watch child pornography."
This statement makes no sense if the journalist's statement meant one of the first two interpretations I gave. However, if we were to accept the third interpretation, then the minister is simply proving an example of the Appeal to Popularity Fallacy in an extreme situation to demonstrate why it is in fact fallacious.
What I think most likely happened
Minister: Makes the Ad Hominem Fallacy.
Journalist: Ignores the Ad Hominem Fallacy.
Journalist: Gives a non-fallacious reason why the government should act.
Minister: Misinterprets what the journalist said so it contained the Appeal to Popularity Fallacy.
Minister: Explains why the Appeal to Popularity Fallacy is fallacious