Hello hamtarou: I'm sorry you had this traumatic experience!

I see this is your first post here on PC. So...

to PsychCentral… from the Skeezyks!

May the time you spend here be of benefit.

As far as asking for the week off goes... you can certainly ask... no harm in that. But, as "BeyondtheRainbow" wrote, the more important thing here may be to get some help with processing this sad experience.

So I'd also encourage you to contact your university's student counseling center if there is one, or seek some other source of one-to-one counseling / therapy services.
PsychCentral is a great place to get information as well as support for mental health issues. The more you post, & reply to other members’ posts, the more a part of the community you will become.

Plus there are social groups you can join & chat rooms where you’ll be able to connect with other PC members in real time (once your first 5 posts have been reviewed & approved.) Lots of great stuff! So please keep posting!