This is a power control play on your daughter's part.  And yes, even though she is young, she knows how to play and manipulate you.  First, you need not fear that she will go hungry or be hurt if she does not eat.  She will, eventually, and that will be okay.  Offer her what your family is eating for the meal, small portions appropriate to her age.  Give her a limited but reasonable amount of time to eat, say by the time all of your family members are finished.  When you clean the table, remove her food as well.  Period.  No discussion, no negotiations.  She will be welcome to eat at the next table time (mid morning snack for example or lunch...).  Same thing.  Same procedure.  Each table time. With a reduction in confrontation time and an increase in harmony (on your part if not on hers at first), you should eventually see  her willing to nibble, then eat, and do it within the family dining or snack time. Patience on your part is essential because this does not end quickly. Good luck!  Lots of us have been in your shoes, and we do know that you do get past this, but not until you stop the game.  ~G