LemonMint - I see you can read Finnish, does this newspaper article say anything about her personal life (is there a husband, any children?)?
Did she spend Christmas/New Year celebrations in Scotland on her own or was it a weekend trip that she took after the Xmas holidays?
I am guessing -maybe incorrectly- that if police forces are not releasing details of the destination on the flight ticket that might mean she was not Finland-bound but going somewhere else instead.
I lived/worked in Edinburgh for quite a while (2000-2008) and I can't really say this is a dangerous city at all. Aside from some streets in Pilton and Meadowbank -which are far away from the city centre anyway- Portobello at night -it is lovely during the day- and a couple of other areas, the city feels really safe so I am not suspecting foul play in this case. Jmho.