The photo you posted has a
very strong orange-ish color cast because your camera's white balance was set to sunlight (5500°K) and the lights in the overhead fixture are tungsten/incandescent lights (2700°K - 3300 °K).
Tungsten/Incandescent is likely one of the white balance settings your camera has.
If you get a flash to use indoors the flash unit will deliver light equivalent to the color temperature of direct sunlight, and will be 'mixed' with whatever other light sources you have on in a room.
Color casts (like the orange above) caused by mixed lighting can only be completely corrected for 1 of the mixed lighting source color temperatures.
If you use flash and tungsten lighting and correct the for the light the flash delivers the photo will still have a orange-ish color cast from the tungsten light.
If you correct the for the light the tungsten lighting delivers the photo will still have a blue-ish color cast from the flash.
There is an easy solution, gel one of the light sources so it matches the color temperature of the other light source.
In the case of shooting inside a home, it is easiest to gel the flash to match the color temperature of the other light source in a room.
For tungsten lighting you use a CTO gel on the flash unit.The CTO gel lowers the color temperature of the flash (5500°K) to the color temperature range of tungsten lighting (2700°K - 3300 °K).
You then set the camera's white balance to Tungsten/Incandescent and your photos will have no color cast.
If you want to go the other way and convert the tungsten lights to the color temperature of the flash, you put CTB gels on all of the tungsten lights in the room.
Which is why I said above, it's much easier to gel the flash.
Here is the photo you posted fully corrected for the incorrect white balance setting in the camera when the photo was made.
Note: As noted above regarding using mixed light with no correction at the light source, the photo now has a slight blue-ish color cast to it from the sunlight coming in the window camera right because in efect the corecvt white balance fot eh window light should be the Shade of Cloudy WB camera setting.
The orange color cast hid the more subtle blue-ish color cast in the image.