well all in all, I'd say you had a bunch of baby steps!
Like what we call, a VICTORY...well done!
Of course she may pull back or feel confused by the good feelings, but that's okay! B/c what you just did was to create a good memory which is recent, and new,
so don't revert to pouting or sulking if this "high" doesn't last. You planted some good seeds! And don't push for too much right now, (the hug AND the "I don't want to let go" was a bit much...) Let the bonding solidify some more.
Relax, be relaxed, (don't fix her depression either--my MD told me that 90% of women on ADs have critical spouses, btw)
but just let her see that you are a good FUN catch, that you bring things to the table no other man can, and be at peace.
M: 57 H: 60 M: 35 yrs S30,D28,D19 H off to Alaska 2006 Recon 7/07- 8/08 *2016* X = "ALASKA 2.0" GROUND HOG DAY I File D 10/16 OW DIV 2/26/2018 X marries OW 5/2016