I checked the wiki and Rogue should also have Axe, if you’re attached to the playthrough and don’t wanna restart :)

Just make sure to buy a weapon that matches your skills. If you put your preferred weapon/armor in Major Skills and keep your Stamina over half, the otherwise clunky combat feels much better. Have fun!

The combat makes more sense if you custom class and put your preferred weapon skill into Major. And keep stamina high. A Redguard with Longblade and the appropriate weapon can kill a mudcrab in two seconds at level 1. You ideally want to start with your main combat skill over 40, if not 50-60. The best part: you don’t need to min-max since the level scaling is minimal. Just pick your favorite armor type/weapon in Major and the rest can be whatever you want.

The game does NOT make that all clear, unfortunately. It took me a few tries to wrap my head around it before falling in love with the game.