There are going to be more issues than the one you have brought up…part of your education, and a service available after your credentialing is Medical Ethics…its not a matter of not being able to be a pediatrician, its a matter of how you will exercise your faith.
I have worked in biotech for the last 21 years. I have had to refuse work, or leave jobs based on the use of cell lines that are over 30-40 years old, but come from aborted fetuses…its a personal decision.
Interestingly, in biotech, what is even more disconcerting, is it is not just an issue of those of us working in the field…patients, if they are really concerned with such matters, need to find out if the drugs they are taking come from these aborted fetuses, and then must decide whether they will take the drug or not…and this can often be no simple proposition, but pro-life is more than pro-birth, IMHO…we’re either all in, or all out!
Good luck!