In every action there's an equal reaction.

Even if you (employer) have had a series of arguments it doesnt justify her running away.

What your maid did is bad for all Filipino who seeks employment here, regardless if its in the office or as a maid. 

Then again, giving my fellow Filipino a benefit of the doubt, maybe she have a valid reason for doing such.  I am sure she knows the implications of her actions (she cant work to anyone, she cant leave Qatar without you knowing, she may go to jail, she may shoulder her own ticket back home, etc) but she did it anyway.  

From your original post, you seem a decent employer.  You even pampered her with stuff beyond the normal emplyer-maid relationship. 

Im only saying this to maybe help you alleviate your irate feelings.  All im saying is, inspite your kindness, she left.  She cuold  have done it in a right way by asking you approval if her reason is grave.

Do what you need to do.  Goodluck in your next maid.