Your fish looks like it's not an adult but likely female. What size is it?
I haven't kept swordtails, but do the black specks look like tiny sunken pits or more like surface dots (like freckles on people)? I do know there are many color varieties & mixtures of swords. Some of those may take some time to show up. It hard to tell in pics.
Could you tell us more about her white film & how you treated it?
I have to say you having a hospital tank is really great!! Not everyone does but it's a very nice thing to have. Good job!
