I wonder if you daughter is shy because she senses some of the resignation from you and the resentment from her mother and it is manifesting itself in the only way she knows to express it???

At any rate...I have a shy daughter too and I am shy...I push us to do things...to stretch our comfort zones...I have never regretted any of the memories I have made with her but I have regretted when my shyness or my fear of pushing her out of her shy comfort zone has limited us...

go to Disney
start off by setting a goal of doing 3 things that you do together
see if she is up for more after those 3 things