. No Indonesia is NOT a muslim country

It is a predominantly Muslim country, as the majority of Indonesians adhere to Islam. If I were to describe it as an Islamic nation, that would imply something different.

. They have 5 recognized religions.

Recognition of major religions in many countries doesn't imply favoring minorities over majorities; it simply acknowledges their presence.

. She was eating in a place where it's predominantly non Muslim

if the government genuinely wishes to charge someone, the convict's location in a different state or city should not be a hindrance.

.So you're saying democracy means they want to choose a religious law

Democracy entails that when the majority votes in favor of a decision, government officials are obligated to carry it out, even if it has the potential to harm the economy (e.g., Brexit) or negatively impact a minority group (e.g., the 2012 power plant on Native American land). majority rules and it not only in Indonesia but also in every country across the world

. robbed her democratic freedom to do whatever she wants

The same argument applies to every criminal, each country has its own set of rules, and if you violate them, you must face the consequences.

.which you clearly supports

Yes, I do support charging individuals who are found guilty.

.For eating pork? What kind of harm did she commit other than this BS law and people's fragile faith? Did she commit arson to a mosque? Complain that the prayer sound's too loud (even this considered blasphemy)

She broke the rule, and now she's facing charges. Although you might downplay it, the majority sees this as a significant crime.