I work at a Catholic hospital, and I was once asked to baptize a patient. It was a 1-day-old baby who was coding, and while the chaplain had been called and was on his way, there wasn't time to wait. We knew the parents would want the baby baptized just by talking with them (they were Hispanic and very religious). He was my patient, and some of my coworkers told me it was my job to baptize the baby since he was my responsibility. I said that I wasn't a practicing Catholic anymore (even though I had received all the sacraments from baptism through confirmation) and didn't feel comfortable doing it! I asked one of them to do it, or the doctor leading the code. Basically, they all guilt-tripped ME into doing it, even though I really really didn't want to. I was very new at the time, and this definitely wasn't covered in my orientation! If it was now, I'd have refused and grabbed someone else. But in that second, I felt like I had no choice. I used sterile water and gauze, said the traditional verse, and made the sign of the cross on his forehead. He was pretty much gone already, but we didn't stop the code until a couple of minutes later when the parents arrived to hold him. We did tell them that he was baptized, which they were grateful for, but no one mentioned it was me and not the chaplain.
I did tell my boss about it and said that I don't think it was right to force me to do something that I didn't feel comfortable with. The people I work with tend to be VERY conservative and religious. They honestly don't understand HOW anyone can NOT be religious, so it was hard for them to get why I didn't want to do the baptism. Like I said above, I'd never do it again.
Either way, if lay baptism is "okay" by the church, then at least the baby was baptized, one way or another.