。
She has a strong desire to travel around the world.
Literal
She [topic-は] world-circumnavigation [object-を] want-to-do [quotative-という] strong desire [object-を] has.
~したいという強い願望を持っている layers several structures: ~したい (want to do) → という (called/named) → 強い願望 (strong desire) → を持っている (possesses). 願望 (がんぼう) means 'desire' or 'aspiration' — more formal and weighty than simply 夢 (dream) or 望み (hope).