A question regarding Facebook privacy settings?

[YayForMe]

Recently, I changed the privacy settings on my Facebook account so that my profile page doesn't show up on search results and so that other people can't add me as a friend, only I have the power to add them.

Let's say I have a friend in real life who did the same thing with her settings. Let's say we're not Facebook friends yet.

Wouldn't our privacy settings make it impossible for us to be on each other's friends list? Since we can't see each other's profile and we can't add the other.

I just really thought this through. hahaha.
EDIT: I meant that when people actually see my profile, they don't have the option to send me a friend request
EDIT again: And oh, I'm not a Facebook hermit. hahaha. I'm just getting tired of strangers sending me friend requests. haha