Regarding Gríma and Éowyn

[The Only Real Estel]

Eowyn could wield a sword and shield. Grima hadn't fought for a long time. This gives her an edge up in terms of strength.

Grima kept up by doing hundreds of pushups.
Seriously, yes Eowyn could wield a sword & shield, but just because Grima hadn't fought for a long time does not necessarily give Eowyn an edge in strength. I know several girls who can wield a sword, whereas I-who have never tried wielding a sword-am much stronger than either of them.