So happy things are progressing in such a sweet way!
I think meeting someone through work can be wonderful if it's handled properly. I think it's a really good sign that she is taking things slow, as frustrating as that can be. If it doesn't work out for either of you, you'll have to see each other at work. Her tempo shows maturity and probably an understanding of the possible intertwinings. I knew lots of people who became involved with seemingly normal people who then became tumultuous within the workplace. When things fell apart, it was a nightmare for them and for the coworkers.
So, it's also wise for you, career-wise, to take it slow to make sure she truly is even keeled. As things progress, much further along, it's probably advisable to have a conversation about making sure this doesn't impact your lives in the workplace, whatever the outcome.
Enjoy the process!
Me 41, H 47, M 15 yrs, S11, S13 BD 1: 11/4/14 we work on it; really I pretzel myself BD 2: 3/31/15 H goes down to "dorm room" 8/15: H back to MBR 10/15: H back in dorm room 1/18: H files, now divorced