Hmm that's spooky, I'm wondering what's causing this issue. The game requests the Nvidia GPU on start, but even if this does not work for some reason, assigning the graphics card manually to the game (as well as the java.exe in the game subfolder) should at least do the trick (but this is completely handled by the driver). Only a driver issue would still force the Intel GPU to be used, but if it's working fine with other games, it might be related to the OpenGL part of the driver (probably the other games are using DirectX).
Did the game work previously? Does it start in fullscreen mode, or in windowed mode?
You could try this: Go to the Rising World folder, open the "config.properties" file in the game directory with a texteditor, and set "game_bypass_graphicsdetection" to true. Now save the changes, and start the game again. If you're able to get into main menu at least, please open console (key ` or ~) and type "report" (without quot. marks). Now a "report" file should appear in your game directory, please paste the content of the file here.
If it crashes before you was able to get into main menu, go to the Rising World folder again, there should be a file called "errorlog" (followed by a number) now (or at least hs_err_pid), please open it with a texteditor, copy the content and paste it here.
Btw. about Java: The Steam version of the game is delivered with an own JVM, so it does not matter whether it's installed on your system or what version you use