AFAIK enums can't be variables, only constant.
edit: not strictly related to godot/GDScript but this article I feel covers it well:
https://docs.oracle.com/javase/tutorial/java/javaOO/enum.html
An enum type is a special data type that enables for a variable to be a set of predefined constants. The variable must be equal to one of the values that have been predefined for it. Common examples include compass directions (values of NORTH, SOUTH, EAST, and WEST) and the days of the week.
Because they are constants, the names of an enum type's fields are in uppercase letters.
In your case I think its a named enum you likely want to use, from the GDScript basics example:
# Enums
enum {UNIT_NEUTRAL, UNIT_ENEMY, UNIT_ALLY}
enum Named {THING_1, THING_2, ANOTHER_THING = -1}
The second example is probably the one to use. So you can derive the value of a variable by referring to the named enum and pick a value from the array/list. But your variable can't itself be of enum type. A constant is a constant value, a variable is a variable value and an enumerator is a set static enumerator.
edit: scrolling further there is a dedicated section for enums in GDScript basics page:
https://docs.godotengine.org/en/stable/getting_started/scripting/gdscript/gdscript_basics.html?#enums
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