There are three sets of values that come into this; the patient's, the physician's and the society's. None of them are absolutely determinate over the others. A compromise between them has to be struck, and that is true even when a physician has an absolute moral objection to a given course of treatment.
The rights of the patient include medical care consistent with their values, not the physician's values. The physician may believe, for example, that the human soul resides in a human being's right leg, and refuse to amputate on that account. (What does it profit a man to be rid of Clostridium perfringens if he lose his own soul?) In a situation where time is not critical, a referral is a good solution, one that 82% of physicians apparently support (if only 18% say they would not refer). But withholding treatment choices is not an option, because the contract between the physician and the patient requires the patient to rely on the physician's medical judgment. Hence, if they agree to treat the patient but refuse to inform the patient of treatments consistent with their (the patient's) values, they have substituted their values for the patients, and this is neither legal or moral (a cabdriver may refuse to take an army recruit to the airport, or, indeed, anybody anywhere, but a laywer may not withold legal options from his client because he thinks his client belongs in jail.)
In situations in which there isn't time to seek help elsewhere, or it isn't practical to do so, the physician must perform to the standard of care according to the patient's values, not their own values. Denying, say, EC in this context is similar to forcing blood on a competent, refusing Jehovah's Witness. Whether in action or in refusing to act, we serve the patients in respect for their autonomy, subject to constraints laid down, usually, in law.
It may be that a person feels they absolutely cannot be a part of some such act. That is honorable; we should respect people of conviction. They should not be physicians working in those roles, however. Their belief system disqualifies them, as often happens. You do not see Mennonites qualifying as navy SEALs; you find few Hasidim managing Red Lobster franchises. You have an absolute right to your beliefs, but not to your job, if you can't carry out your responsibilities.