If the other tube is abnormal, then your doctor will try and save the tube with the ectopic. This does increase the recurrent ectopic rate and will mean that serial blood tests and even ultrasound may be necessary as follow-up.
If this is not the first ectopic that you have had, and the other tube is abnormal, then it may be safer to remove the tube and consider IVF for pregnancy. Because a ruptured ectopic pregnancy can be life-threatening, trying to salvage a tube if there is a significant risk of a further ectopic pregnancy may not be in your best interests.