You did good bud. I think it is fine to initiate a hug if you want to. The distinction is that you are doing it as a gesture of giving (in control man), and not of needing (out of control man).
Also, asking her how she is doing financially is also a strong move, because it tells her you are successful and can provide if need be. Quite different from someone demanding or begging you for money and always giving it (they say jump...etc)
Processing your feelings in her absence is healthy. Just don't wallow in self pity for too long thereafter.
Spellfire aka Mike
"Women do not like controlling men. They respect and are attracted to men who control themselves. They ultimately are repelled by men who allow themselves to be controlled." -S&A