It was established in the books by Word of God fairly early on that Daenerys Targaryen is not immune to fire. From an interview with George RR Martin:
Granny: Do Targaryens become immune to fire once they "bond" to their dragons?
George_RR_Martin: Granny, thanks for asking that. It gives me a chance to clear up a common misconception. TARGARYENS ARE NOT IMMUNE TO FIRE! The birth of Dany's dragons was unique, magical, wonderous, a miracle. She is called The Unburnt because she walked into the flames and lived. But her brother sure as hell wasn't immune to that molten gold.
Revanshe: So she won't be able to do it again?
George_RR_Martin: Probably not.
However, it seems that with the recent events of Episode 4 of Season 6 of the TV show, Book of the Stranger, television Daenerys is immune to fire, burning down the main building in Vaes Dothrak with all of the Khals inside it, and walking outside naked but unharmed.
When the events of the season finale
demonstrated the destructive force of wildfire once again with the destruction of the Great Sept of Baelor by Queen Cersei, and the imminent collision course between her and the Mother of Dragons,
it demands that the question be asked: could Daenerys survive being burnt by wildfire?
Editing to differentiate between this and the previous question. Has it been established in the TV show that wildfire is hotter than regular fire? All she has been exposed to so far (funeral pyre, burning great hall in Vaes Dothrak) was normal fire. Assuming the books and TV show follow different rules, this question is asking has there been any evidence that Daenerys, and Targaryens* in general are immune to fire to the point where being burnt by wildfire or dragon's fire would not hurt them. If there is insufficient evidence for this that would make the answer pure speculation I will close the question, but this community is excellent for digging up tiny details that may answer even the most esoteric questions.
The relevance of this question I feel is even greater now that it's possible that there is more than one Targaryen left in the world, who has just taken up the mantle of The King in the North.