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Did you inserted the SIM card backwards? How about the SIM card size, is it the correct size or did you trimmed/cut it?
http://support.sonymobile.com/global-en/xperiac4/userguide/Assembly/
To remove a nano SIM card
Do not insert a nano card which has been cut from a micro SIM card or a standard SIM card. The size of such a cut card may be slightly different and could therefore damage your device, if inserted.
Hi Iara,
If you are not able to get the card out with the supplied information, then I do suggest that you contact Customer Care, as trying to forcefully remove the SIM card may result in damage, so having a service agent remove it for you may be the best option.
Use my signature below to find contact details.