"State" itself is a gender-neutral word, referring to a political entity.
Here are some ways to express a similar concept with a feminine connotation:
* Nation: Often used interchangeably with "state," but can carry a slightly more formal or powerful tone.
* Republic: A type of government often associated with democratic values.
* Commonwealth: A political entity that emphasizes unity and shared interests.
* Realm: A more poetic term, often associated with kingdoms or sovereign territories.
The best choice would depend on the specific context and the desired tone.