I've always seen intimacy as knowing in great detail about someone else. As a person, I have things that I'll let anybody know, things that I'll only let friends know, things that I'll only let family know, and things that I'll only share with someone I am intimately connected to. I searched for a definition online, and I believe this best backs up what I'm trying to say:
"Intimacy is about being emotionally close to your partner, about being able to let your guard down, and let him or her know how you
really feel. Intimacy is also about being able to accept and share in your partner's feelings, about being there when he/she wants to
let their defences down.
To be able to share our 'inner-world' with a partner we love, and to be able to share our partner's experiences, is one of the most
rewarding aspects of a relationship."
To be intimate with someone is to know all about them. As an aspie though, the lack of empathy has made this really hard for me. Needless to say it doesn't come natural, so I basically just open up and hide nothing. I don't produce any "fronts" in relationships and share all that my partner wants of me, and this usually works. I figure if my partner wants to be emotionally intimate with me, then what is important to me must be important to her. I dunno... what works for me might not work for everyone.