@Oleg96,
Warts are caused by viral infections. The previous blister may have just facilitated the infection of he skin since the normal barrier protection that the keratine provides was lost temporarily.
Definitely you need treatment by a Doctor. you may foun dmany OTC products and suggestions on the web. But better treat by a physician because the area affected is a finger Fingers are highly vascularized, and have many specialized neuroal receptors that may be damage.
So make an appointment soon. Do not let this continue more time.