Then I managed to open the door and we finally made our way to safety. 随后我用力打开门,我们拼命跑到了一个安全的地方.
在英语中,'make your way to/towards sth'就是去,前往,前进的意思.
Would passengers please make their way to gate 15 for the flight to Paris. 乘坐去巴黎航班的乘客请前往15号登机口.
Don't worry, we can make our own way to the airport. 别担心,我们可以自己去机场.
对话中"made our way to safety"就是跑到安全地方的意思.