Hm, this doesn't sound quite right. How were you diagnosed with a non functioning kidney? What kinds of tests did they do? This would not affect pregnancy. Your reproductive organs are separate from your kidneys. :>) So, why do you think you'd not have a fallopian tube? And one tube and IVF are not a problem as with that, they PLACE the embryo rather than naturally occurring conception where it can take place in the tube (ectopic pregnancy). Women with one kidney can have children. However, I would discuss your desire for kids with your doctors so everyone is on the same page. good luck