I wouldn’t be offended or consider saying anything to anyone who included this in their out of office message, but even as someone who is in a religion that forbids use of electronics on most holidays, I still think this message is 1) TMI; 2) doesn’t convey what it needs to convey unless you are explaining that you don’t use electronics during holidays, in which case you can just include that you won’t be checking email without including the religious explanation; 3) would come across to me as inclusion of personal information I don’t need, which would therefore strike an unprofessional tone,and I wouldn’t understand why you felt the need to include that info. How about “I’m out of the office without access to internet or email until (date). If you need assistance before this date, please contact…” Like I said, I think your colleagues are overreacting, but in general I would advise to leave all personal information out of your auto-reply — vacation, medical leave, religious observance, etc. — people do not need to know why you are out.
. Open the page and click on the “Send automatic replies radio button.” Until you turn off the assistant option, automatic replies will be continued to send. Keep as a reminder to off the assistant. Now, tap the “Send” option, and the date and time options become available.

Hi! I will be out of the office this week. If you need immediate assistance while I’m away, please email (COLLEAGUE NAME).
If yes, oops, you’ve missed her/him. I’m [David]. I’m an autoresponder. [Your Name] is out of the office. I’m all alone here. But it’s okay. After all, this is the only time of the year I’m around.