Should we include a person with OPD* on the trip?

(*OPD = obnoxious personality disorder.) A group of six women have gone together on painting trips that we organize. Person A – the one with OPD – was brought into the group by her friend Person B. The first trip was great even though some of us didn’t care for Person A. The second trip was pretty awful and one person said she would not come on another trip if Person A came. Now two of are planning next year’s trip. We would like to include Person B but don’t know how to ask her without asking Person A. We also don’t really want to hurt Person A, but would rather not have her along. Is this too confusing? Any thoughts on how to handle this sticky situation?