Is the other woman trying to get my husband back?

It could be that she knows your husband has to give the okay for the hiring. So, since they need a part-time worker and you have typing skills why don't you go and fill the position? This is a recession, your husband would have a pool of overqualified workers so why does he need to go fill it with the woman he had an affair with. Why didn't you file for divorce? Once a cheater ALWAYS a cheater at least in the relationship where you cheated. Your husband is looking for her, not the other way around.