Is it safe to wear cap after one week after FUE?

Absolutely.  particularly if you are going to be out in the sun as your scalp will be sensitive.  A couple things I tell all my patients - 1) make sure it's loose until all of the crusting is off the recipient sites 2) make sure you wash your cap before wearing it for the first time (or maybe buy a new one) and 3) make sure when you remove the cap to be very careful about injuring the follicles.  It may not be a bad idea to swing by your doc's office and have them teach you how to wear one.  We do it all the time at our office! Best of luck! 

It is best to ask your surgeon about post operative care as each doctor has their unique regimen.  In general wearing hat should be no issue.

Thank you for your question. You need to be gentle when interacting with the scalp in any way for the first two weeks. This includes protecting the grafts from wind and sun, taking care to not use force when showing, and being careful not to disrupt them in any way with hands or objects (including hats) while they are still in the healing process. I suggest that you discuss your recovery instructions and expectations with your board certified facial plastic surgeon.

Best wishes,