I’m using PoEdit as it doesn’t require the use of a plugin. If however, the only way is to use Loco, can the plugin be deleted after translating the phrases?
No, Loco cannot be deleted, otherwise, the translation would disappear.
Could you please check how PoEdit works with some default WordPress theme like twentysixteen to understand is it our theme issue or not?
I have this fear in my head that if I switch to another theme and then go back to the original (WoodMart) it will be broken and all over the place. Tell me my fears are unreasonable and nothing bad is going to happen becausing i’m afraid to try this.
When you switch from one theme to another you can lose your setting in widgets. All the rest will remain. You would better to make the full backup before you testing anything.