Mikasa is a strong member of the Survey Corps. She may not have the ability to Titanize, but she compensates for that with her above average strength and speed. Tybalt wouldn’t be able to land any blows and his speed is too slow for him to even parry her attacks. Mikasa has every possible edge in this fight so the gap in their abilities will become apparent before long. They are simply fighting on two very different levels. Mikasa wins.