Salpingectomy, or the removal of a fallopian tube via surgery does not mean that you will not be able to get pregnant. If your remaining fallopian tube is normal there is a good chance that you will conceive, although it can take a little longer than normal.
If you have never had difficulty getting pregnant, the normal pregnancy rate after salpingectomy is 70-85%. If you had difficulty conceiving prior to the removal of your fallopian tube the normal pregnancy rate is about 10%.
In order to get pregnant it is necessary for you to still have one or both of your ovaries. Your chances of getting pregnant are greater if the tube that is remaining is adjacent to a remaining ovary. Evidence has suggested that an egg released from an ovary can be moved to the uterus by the fallopian tube on the opposite side, but this is rare. Ovulation usually alternates ovaries, so with only one tube it is likely that eggs from the opposite ovary will never be fertilized. If you have had a tubal pregnancy or infection that caused the removal of your tube your chances of fertility will probably be reduced.