Trabelsi is Jewish, and is the CEO of a successful Tunisian travel agency. He is tasked with resuscitating Tunisia's tourist industry.
He has been a major player behind the annual Jewish pilgrimage to Djerba, which attracts tens of thousands of Jews every year.
Naturally, some Islamist parties are mounting opposition to this appointment. It doesn't look like they will get much traction, especially since the previous Islamist government destroyed the tourism sector and Trabelsi seems to be very competent from what I am seeing.
Tunisia seems to be doing the best of all Arab Spring countries.