Quote from cyberkat
The keys here are "If the patient asks," and "if you are comfortable with praying."
The first because it would be wrong to impose your personal beliefs on someone who does not share those beliefs. This should be obvious, but it isn't always.
The second, if you are asked to pray and are uncomfortable with it, it might dim the experience for the patient. You could always stand quietly with head bowed or holding the patient's hand if they wish, or you could send for a Chaplain if you're truly uncomfortable with it.
There are a couple of issues to be addressed here, I think.
1) Respect for another's beliefs. e.g. Obviously if you have a hindu patient, for example, you don't want to feed them beef for their evening meal. Since Hindus worship cows and other animals, you would be inducing them to act against their conscience and doing them what they consider to be spiritual harm, even if it isn't in fact harming them as far as the practitioner can see.
I've heard of situations where a pagan practitioner has used an occult ritual healing on someone who was Christian. The Christian objected when they found out about it. Clearly, this is uncalled for and hurts the patient who believes such rituals have the ability to harm them. If it also turned out that the Christian worldview is right and the occult wrong, it would hurt anyone, not just a Christian.
2) The good of the patient
Even in the most extreme case of someone afraid of death and going to Hell because they've lived a life of sin, they may react badly to the suggestion that you are willing to pray for them. I don't think offering *once,* possibly *twice* is being pushy. ***Most*** chaplains are good at reading people and know how to encourage people to settle in to the idea of making peace with God. Respect for another's beliefs means that if they are absolutely adamant about not bringing God into the picture after someone has offered, their wishes need to be respected. I've known of priests who have left without praying with the patient under such circumstances, but if one is of the same faith as the person dying, one can still ask God to help them even if the person doesn't know they are doing it. This doesn't contradict what I said about doing something contrary to the person's beliefs because many times a patient has psychological issues that prevent them from knowing what they really want. The key is that the preayer you say shouldn't violate the person's beliefs, if any.
I know of at least one priest who says if he can administer sacraments without being in the way, he will, and I think if a nurse can pray while working without getting distracted and compromising their efficiency, and if they are comfortable with praying according to the patient's religious beliefs, they could silently whisper a prayer for God's Mercy. If the person doesn't believe in God, it could be a big help if they find out they were wrong when they meet him.