If you are copied on an email she will see you on the list.
Regardless it is her choice and her life.Nothing to do with you.
Sure maybe it'll be a good job and if ye do get back together you'll appreciate the work, even if you don't believe she needs it!
R 25 years M 14 years S11 & S13 Working on it alone since Oct 2014 M in trouble a lot earlier (~2 years) Feb 2016. 1st R chat in a yr. Next R chat Aug'17 Still together