Conservative Iranian television host spotted drinking beer in public without hijab

That’s open to discussion. Ask a conservative sunni or shiite cleric and he will certainly tell you that a good muslim doesn’t drink alcohol.

Alcohol isn’t defined as haram (forbidden) in the Quran so it isn’t as clearcut as most think it is:

They ask you about wine and gambling. Say, “In them is great sin and [yet, some] benefit for people. But their sin is greater than their benefit.” And they ask you what they should spend. Say, “The excess [beyond needs].” Thus Allah makes clear to you the verses [of revelation] that you might give thought.
Al-Baqara; 2:219

And from the fruits of the palm trees and grapevines you take intoxicant and good provision. Indeed in that is a sign for a people who reason.
An-Nahl; 16:67

O you who have believed, do not approach prayer while you are intoxicated until you know what you are saying or in a state of janabah, except those passing through [a place of prayer], until you have washed [your whole body].
An-Nisa; 4:43

O you who have believed, indeed, intoxicants, gambling, [sacrificing on] stone alters [to other than Allah ], and divining arrows are but defilement from the work of Satan, so avoid it that you may be successful.
Al-Maeda; 5:90

Satan only wants to cause between you animosity and hatred through intoxicants and gambling and to avert you from the remembrance of Allah and from prayer. So will you not desist?
Al-Maeda; 5:91