I have read similar ideas of the Holy Spirit being female. I think that is a bit limiting and the Bible says little about the specific nature of the Holy Spirit. I personally think it could be possible the Holy Spirit contains the Godly aspects of the feminine but I think being specifically female is a reach, either way biblically there is nothing to stand on in my limited understanding.
Without having any physical aspects due to being a spirit I do wonder how it could be described as either male or female. I know that wisdom is described as a she. Maybe that was referring to the Holy Spirit but I don’t remember the context of those verses.