Arrow rests and handedness.

So I'm a new hobbiest to archery, slowly figuring out what it is I need to do to start building my first ILF bow. I'm a little confused, cause I realized I bought the wrong kind of riser, I needed the riser to be fitted for my left hand to hold it ;-; What I'm wondering is if my Arrow Rest that I had purchased needs to be Left handed too or if that really matters for the arrow rest? For context, I had purchased the Fivics Out Nock Recurve Rest, but stated that it is only for RH. ;-;