I am trying to put a secret door in the basemant of my house using RifRmSmBaseWallSecretDoor02. I have it set up to open when the player activates a pullchain. My question is, how do I get it to not display the "open door" prompt when the player stands in front of the door?

not sure if BlockActivation or setting it to parent activate only would do this (BlockActivate should i guess),

or you could make it an activator instead of a door (as it appears to be no teleport door) so you could enter an activation prompt override

Add it as a door but in the door settings leave the "Name" blank.