Is this how we elect HOA board members?

I am president of our association and last year one board member was removed from his post and was replaced with the next person with the most amount of votes from the election. The position she filled is up next year. Two of the board members want her to run again this year and I think because she was the one next in line she should be able to fill out the remainder of the term. I would like a quick response as we are having our general meeting in less then a week. Thanks for listening to my complaint.