There's something weird going on with the file pathes there, given the W with a slash through it. I've never seen that before and don't know whether it's part of the problem.
However what is a problem is that it's trying to find resources in the wrong place: Your window title bar says it's running in G:\FreeOrion (v0.3.15)\Freeorion\ but the exception lists F:WFreeOrionWdefaultWDejaVuSants.ttf
Assuming the W-slash things are supposed to be backslashes, it still appears you've got an old config.xml telling the game to look in the wrong place for data files from where you're running it. Try deleting your config.xml
and trying again.
Running from the command-line (cmd.exe) if available would make it easier to see any error messages without the window disappearing.