Chosen Solution
Whenever I try to put the SD card into my DSi, it always ejects it. But if I do it on my brother’s DSi, I hear a click and it stays in place. I tried to follow what most guides on YouTube say, but there is nothing in the slot that would cause it problems
The tray for it is probably broken then. The part that clicks and grabs it must be damaged. Probably stuck. You may be able to rig the slot so your schedule card stays in,but replacing the slot or even trying to fix it would probably require disassembly.