how do you get an axe in Terraria if you lose yours?

Answer 1

Craft it on an anvil, the basic Copper Axe would be 9 Copper Bars and 3 Wood

Answer 2

You can either Make one easy to do

If you can't get the materials to make one if you lost your axe.

You can either create another character just to send you one (place it in a chest)