The family had been on the final day of holiday when a huge explosion shook the sky above their hotel pool on Saturday.
Stone, along with husband Paul, 54, and daughter Summer, 11, are staying in a hotel on The Palm near Jebel Ali Port which was affected by debris from an intercepted missile.
Major Gulf hubs, including Dubai, which usually handles over 1,000 flights a day, remains closed for a fourth day due to the conflict.
“I feel like my health is getting worse and I am in quite a lot of pain and would rather be with doctor,” said Stone.
“For me it is really stressful and if something happens to me or I go downhill, what do we do?”