my iphone doesnt seem to recognise my sim card

hello to anyone reading,

i have recently gotten a second-hand iphone 5 and i was in the process of putting my sim card in it, although my rush to get it working as quick as possible i made the stupid blonde mistake of putting a memory card in the sim card slot so it got stuck. alas it has been taken out and now i can put a sim card in it.

BUT my iphone wont actually recognise the fact my sim card is in it and i am unsure of what to do because there has been a small amount of damage to the sim card slot thing because i tried to get the memory card out myself.

so i was wondering if anyone knows what to do, would i have to send it off to apple and get them to fix it, and if so how much (estimating) would that be?

or is it as good as gone? have a ruined my only chance to be the owner of an iphone????

HELP SOS