Will they not replace it for you? I'd ask for a replacement. Also, did you write down the wallet seed? The 24ish random words it gave you during the initial set up of the wallet?
I personally don't have a Trezor, but like most wallets I believe it sets up this way. You can use those 24 words to access your wallet using another wallet downloaded onto your computer... just make sure the device you do it on is clean and free of viruses.
PS - security warning: do not give those 24 words or any other information to anyone on this forum through post or private message. We can guide you but don't trust us to do it for you, too many shiesters here.