This is a fascinating photo, but it might help in identifying the person if we could put a reasonably precise date to it. From what can be seen at present it looks like a
carte de visite which I would guess might date from about the 1890s, but as styles of photos and mounts changed over the years, it would be helpful to see the whole of the front and the back of it.
Clearly the woman has just reached some academic milestone, but the lack of a hood suggests that she may not be a graduate - though since there were hardly any opportunities for women to attend university in those days, that's not surprising. There were, however, a few associated colleges where women could study, including some for teacher training, and this may relate to one of those. All universities and colleges, or their successor institutions, will keep records of their former students, and they may also be published in annual calendars - I found records of some of my family members from Leeds University in a copy of a calendar in the Society of Genealogists' library.
Each university has its own regulations for academic dress, and it often varies according to the faculty where someone is studying. In this case, the colour of the tassel and the stitching where the sleeve is gathered may well be significant.
I haven't been able to find any similar pictures, but I'm sure that with a bit of time and effort it should be possible to identify it. One possible source of help might be the Burgon Society (
http://www.burgon.org.uk), which is concerned with the history of academic dress - they may well have someone who can identify it, or at least give a few pointers as to where it might be from.
Arthur