EDIT:
Wow, it has been a while since I created this post on here! Since I created this post, four years have passed and I am now 22 years old and am in my third year of university. I changed university degrees (no longer studying Hebrew, but instead International Relations with Political Science). I have been involved more in the Jewish community in the UK, and I finished a Conservative conversion- from which I took the Hebrew name Eliana Yocheved bat Avraham v' Sarah. I also keep kosher and am shomer Shabbat- at least according to Conservative standards.
Meanwhile, I had no such "luck" with the Orthodox beit din here because I have still not been able to start the process as a student.
I have however had the opportunity to visit a couple of communities in my city; I have been to two Sephardic shuls, and have been recently attending my local Orthodox shul. I have been in contact in particular with the rabbi from that shul, and on a shabbat a few weeks ago we recently spoke about conversion. He informed me that I can keep attending, and then after a while we will speak more about the matter. I have happily accepted that plan, and will keep at it. But even so, as for formally starting the process, it still is not something that is possible for me.
Some rabbis and other converts have advised me for this reason to possibly consider going to Israel in future. This is an option that might be open to me because I will be able to make Aliyah as of next year because of my conversion. However, if conversion there is not possible I would not mind just being able to study in Israel at a seminary for a short time.
Does anyone have any suggestions?