Question

she battled her way ___ the crowd

Answer 1

She battled her way through the crowd
                                 ----------

Answer 2

We can add the preposition 'through'; 'with' & 'from' in the above statement.

So, we get :---

She battled her way _through__ the crowd.
She battled her way__from____the crowd.
She battled her way___with ____the crowd.