"I haven't eaten lunch yet, good call. I know this burrito place near here." She suggested, licking her lips.

You could take her offer, but there are other options as well. 

Such as a pizza parlour, it has less people so there's little chance someone notice your tiny self.

The Ramen store is also pretty popular, you could take small bites out of the wontons.

If either of them sounds to greasy or salty, the bakery is also available, if you want something sweet for lunch.