Your boss is making a big mistake and by doing what he/she is doing to you could end up getting them reprimanded, very foolish on their part.
Am also a poor speller but have learned in the last 3 or 4 years that reading does and will improve spelling. Start reading more, pick up books that grab your interest and read, read, read. It should help over time to greatly make you a better speller.
Be happy you were hired by a department and work hard to improve your spelling before you know it you’ll be spelling as good as the ones teasing you! Now I need to work on my grammar!
Good Luck
PS Thank Goodness for spell check!