If it was really litlle I'd ask the captain if he was happy to roll if he said no - wait. If he said yes then I'd rely on the huge bypass fan making that little bird's day!
If it was big that's a different story - wind up the power and it's likely to fly off.
You raise a serious point though. With technical reliability what it is these days a disaster after take off is likely to be a massive multiple birdstrike. If you hit one on the roll before V1 you can always abort.
Hit a bird once flying low level over Wales at 250 feet. Agricultural investigaters declared it to be part of a Turkey. It seems I hit another bird that had been scavenging from the Turkey farm!