Be careful in general with this. Many, many facility policies strongly discourage the use of pictures such as this--as really, social media can use the pictures with whatever they choose to, and a number of facilities don't encourage that.
Just looking her up on social media could be a violation--as the reason you know her name is due to her time in the facility.
Sounds nutty but true.....
If you are on your personal computer, if you are going to make a copy of the print to put in a frame on your desk, or in your journal, or whatever, then I would--as it is a picture of yourself. If you are going to use it for the general public, share it yourself on social media, use it for a school project--then just say no. Or at least look in the facility policies about social media and picture taking.
Worst case scenario--catch your Dad in scrubs
along with you and take another picture--yourself.