Yeah they do need some space initially, but CONGRATS!
Some personal advice from my own experience having a chin, and being a fairly new owner. My chin hid in the corner and made her "don't hurt me! I'm just a furry lil' ball of cuteness!" noise. I refrained from petting her once I realized she was scared, but i very softly/gently whispered/talked to her so she would get used to my voice, kind of to sooth her. I even very hesitantly pet her very gently since she was near the edge of the cage. It worked kind of, She warmed up to me pretty fast. And omg when they're young it's so cute b/c they tire really fast she used to literally curl up next to me really close and snuggle while she slept after about 20 minutes of playtime! cherish those moments lol! pretty soon butter will have unlimited energy.
Just a word of caution, chins naturally bite to "test" anything/EVERYTHING. So even when he/she is used to you they will still bite, and some bite harder than others I've found. Be very calm, don't pull away, keep your hand there and very still so he/she knows you're no threat. Unless they really go hard at it then maybe you'd better wait a little longer.
Good luck w/your chin! A cute thing to try is leaving the room and turning all the lights off (at night). My chin, kuki, was initially scared of me, but when I left and she was alone in the dark she'd play so much and enjoy her new environmen tlol. But as soon as she noticed me spying she'd stop and hide again hahaha. So you can still have fun w/your chin

Just take it slow
congrats again!