Mei Hatsume vs Schierke: who would win?

Mei Hatsume favored — Slight edge (~55%)

Mei Hatsume · My Hero Academia · Base

Tier
8-A
Attack Potency
Multi-City Block Level
Speed
Unknown
Durability
Wall Level, up to Multi-City Block Level

Schierke · Berserk · Base

Tier
8-A
Attack Potency
Multi-City Block Level
Speed
Average Human, up to Massively Hypersonic+
Durability
Human Level, up to Multi-City Block Level

A heuristic estimate from normalized VS Battles Wiki stats: tier, attack potency, speed and durability.