We once discussed that exact question during an information evening at my kids' daycare. (For reference: The kids at that place are between 6 months and 3 years old, but most are between one year and 2.5 years) A couple had a problem with their kids, who would only eat if given special attention and entertainment at the same time.
The answer was that if he ate properly at all the other meals, and drinks enough, the occasional skipped dinner isn't much of a problem.
Personally, I would be very careful about offering additional options until she eats. Kids learn very quickly that if they play stubborn then their favorite foods will be specifically brought to them. (My nephew was such a candidate, and it took years to break that habit afterward, partly because he was a bad eater in general and my sister was just glad he'd eat something at all).
I am lucky enough that my kids don't give me a lot of trouble in that regard, but even they at times test the limit and I run into a similar dilemma as you are in. (My son is two, my daugther five). What I do it always make sure every meal includes something my kids have eaten without complaint before. Then the rule is that they can eat whatever and as much (or little) as they like, but what's on the table is all that is available.