Hi welcome to Lula.
PS Elements is a well behaved program with respect to colour management, so just leaving everything in Windows colour management at the defaults(recommended settings) will be fine.
If the graphics program does not override the Windows control panel settings, what is the proper permutation of settings.
If possible, it's always better to stay with programs that are properly colour managed when making 'serious' colour prints.
If you
have to use a program that isn't colour managed at all, try to ensure that any graphic images you use are in sRGB colourspace* as other colourspaces may not be recognised and handled properly. A properly installed printer should then set the correct profile automatically with the media choice selected. This works fine when using OEM papers and inks, but if you're using non standard ink or paper and have a custom profile for them, you'll need to set that as the printer's default profile in Windows colour management settings. This might get a little complex if you've multiple non standard profiles, as you'll always need to remember/check what settings you've got set as default every time you print.
*sRGB; In PS Elements this is set by choosing to optimise for computer screen. ( or at least it was on the last version of PSE I looked at closely)