I do think there may be some conflict here given his position. However, I'm a sucker for love in the most unlikliest places too. You never know. he could be the one. Sometimes we cant predict when love happens. This may be one of those instances. I think it would be wise to maybe hang out in a group setting (as someone posted above) This will give you a chance to get to know him outside of the hospital.
I'm not sure I was much help but I do hope things work out for the best.

Take care.