For cultural interest, prioritise visiting time and interpretation at the monastery. For the mountain, prioritise the walking route, guide and overnight schedule. One combined package does not give unlimited time to both. Discuss your priorities with the operator and leave the following hours free for recovery.
Choose the purpose of the journey
Decide whether you want a monastery-focused outing or a combined mountain climb. The latter adds an overnight walk and different physical demands. Ask which areas are expected to be open, how much visiting time is available and what documents are required.
Make the plan concrete
Read about the UNESCO-listed landscape before travelling so the setting has context beyond the photograph. Dress respectfully and follow photography instructions. Keep the return evening simple, since the journey from Sharm occupies a substantial part of the outing.