Re: Kate Stewart in Day of the Doctor (SPOILERS!)
Also, given that one of the rumors that circulated TDOTD for a while had her wear the Fourth Doctor's scarf as a gift from the Doctor himself, it might be oddly appropriate for them to have that kind of a mix-up.
Actually, it's a newly-introduced UNIT scientist that wears Tom Baker's scarf.
"Internet message boards aren't as funny today as they were ten years ago. I've stopped reading new posts." -The Simpsons 20th anniversary special.