Why is this case in a military court?

A Lebanese woman who was previously married to ISIS leader Abu Bakr al-Baghdadi, has been held for months, with her four young children, in a Lebanese security services prison. She is accused of being a member of an armed terrorist organization plotting violence. Details here. Why isn't the case in a civilian court?

Rather than generate a separate post, this is as good a place as any to mention yet another case tried by the Lebanese military court. Details here. The past and future charges include some -- italicized here -- that should raise eyebrows:

A judicial source told The Daily Star that [Omar Bakri] Fustoq’s latest sentence was over “belonging to a terrorist group and spreading messages on social media that describe the president as a criminal and the Army troops, lawmakers and judges as disbelievers.” 

He was also convicted of “recruiting militants to fight in Syria and Iraq and inciting sectarian tension.” 

His first case, in which he was also sentenced to three years last April, was over adopting an extremist jihadi ideology, inciting attacks against the Army and encouraging the formation of an Islamic emirate in Lebanon. 

The two sentences will not be combined, the source explained. Fustoq is yet to be judged in a third case over defaming security forces dating back to 2010, and he will only serve the longest of the three sentences.

(Emphases added.)