Team focus!
I play Galilea a fair bit and the one thing that always stops me is a well coordinated team! i can play a solo Galilea very well (by solo i dont have my mates online and have to keep an eye out for myself)
I will find as Galilea towards late game when ive racked up quite a few kills the opposing team will realise im the threat and focus me as a team which is very very annoying XD but at the end of the day its effective.
So my advice is focus her and really and truly dont turn to run, it will only end in being stunned by her shield. so stay and fight do as much damage to her for the team as possible, who knows you may have a Reyna come and save you 
Edit: [quote=“Panaorios, post:2, topic:1402842”]
When she desecrates (black swirling ground) step out of it immediately, it increases the damage she does to you
[/quote]
This is key aswell btw 