Depends where the “dew point ” falls.
Most likely is it will be somewhere within the wood so any moisture in the warm internal air traveling towards the colder outside will condense within the wood and you risk rot.
A vapour barrier such as visqueen should be placed close to the inner surface often under plasterboard etc to stop the moistue traveling further.
You should really fit a breathable membrane such as Tyvek to the outside of the wooden roof as this will allow microscopic moisture droplets to travel out but stop larger water droplets from entering.
Proper fixings with the gromets and caps through the high points should not let much water through and what may get in will be stopped by the membrane