I feel your pain BubbleB*tt
I've spent the last 4/5 years developing myself as a print based designer, only to be told when I go for jobs, or even work experience, that I need to be able to web design/code, use Flash and do motion graphics/animation etc!! I personally though that was what animators were for. And I thought web-design was in web designer domain.
It seems now though, that to be a graphic designer, we must be able to do EVERYTHING!!
I'd say just take your time and learn it. Don't rush it and not do your best, just to keep up. It's something that needs to be learned properly. Theres lots of night classes/online courses (see sessions.edu) that can help with the basics.
To be positive, just think of how proud you'll feel once you know you CAN build websites, and your first propper one is live!
