From this passage, I can infer that the season is fall. This is because the passage mentions a crisp day and "leaves were turning gold and red". This phenomenon usually only occurs in the autumn. To further prove the point, the deer was a buck, meaning he was probably born sometime in the spring or summer, giving him time to grow up. I hope this is what you need! :D
To learn more about an author I would read at the back of the book were there little biography is.