I don't know what it's like going off T but I know what it's like going off E for 8 months and I assume two weeks of no T is going to tank the body, but not as seriously as I experienced with zero external hormones for an extended period of time. Both T and E fulfill very similar functions in the body if you set aside the sex-specific things they do - they regulate mood and have all sorts of other effects on basic body functions like cell repair.
Without either anxiety basically goes through the roof, anxious thoughts become intrusive and constant, things like muscle repair are seriously slow, sleep sucks and fatigue is the order of the day. There's an increase in feeling lots of small and random pains in the body from time to time - I assume as a result of the slowed healing and repair from lack of hormones.
I would guess that 2 weeks off T is not nearly this bad, but that would will see some tanking of mood, increase in emotional or anxiety responses, and probably see your energy levels and sleep suffer noticeably.
I have yet to get the surgery so I don't know, but if I have to quit T for a short while, I'm going to have to brace myself for the psychological and physical impact I know will be coming for me. At least I know my enemy now, so to speak, when it comes to what hormones do and don't do, and what to expect. Hopefully it will be nowhere near as hellish as 8 months was.
(This is the reason I get annoyed at the local pharmacy when they mess with my prescriptions or take weeks to get it in stock... just remembering what it's like to not have proper hormones is enough to make me keep 6 months' supply "just in case".)