Bisexuality Support Group
Bisexuality is a sexual orientation which refers to the aesthetic, romantic, and/or sexual attraction of individuals to other individuals of both their own and the opposite gender or sex. Most bisexuals are not equally attracted to men and women, and may even shift between states of finding either sex exclusively attractive over the course of time.
So maybe you can keep your sexuality under wraps to protect your reputation. If it's worth it to you, also consider the logistics of keeping this information contained. Many bisexuals are able to conceal their sexuality by only pursuing relationships with members of the opposite sex. Some find this too difficult, and find ways to have clandestine same-sex trysts and romances. Just remember, you will be at the mercy of anyone who is aware of your sexuality; if they are vindictive they can always use their power to "out" you as leverage.
That said, I believe that Episcopalians are known to be the most progressive when it comes to alternative sexualities; I've known Episcopal churches to ordain gay people. I don't know where you live, but regional differences definitely exist when it comes to religious attitudes about sexuality. I hope you are able to make a choice that works for you.