Yes, thanks. I think it's going to be cheaper to take her as accompanied baggage as they will charge 20QR per kilo for her as access baggage. 

Still don't know what the freight as unaccompanied baggage would cost, but I can't imagine it to be any cheaper than that.  If anyone has a rough idea about how much it would cost to take a cat as unaccompanied baggage, please let me know.