If you have missed out on a place for a teaching degree, there are other degrees that have an obvious relevance. One subject that is often overlooked is Childhood Studies.
This subject could lead to a later PGCE (post-graduate teaching course) or to another career beyond simply teaching. Many of these courses will still have offers available so you may still get a place for
this year.
This course is also worth remembering if you don't do as well as you'd hoped in August or feel that you aren't entirely certain that you want to teach - but want to work with children in a professional job. Its also worth considering as an alternative to more general subjects like Sociology, Children's Nursing or Social Work.
Examples are :
Childhood Studies at Bristol -
http://www.bristol.ac.uk/study/undergraduate/2016/childhood-studies/bsc-childhood/. This subject is also offered at Unis like Leeds, Bangor and Nottingham Trent plus several others.
Early Childhood Studies at Roehampton (London)
http://www.roehampton.ac.uk/undergraduate-courses/early-childhood-studies/index.html. This deals specifically with children aged under 5 and is also offered by Plymouth, Oxford Brookes and Staffordshire plus several others.
There are also degrees called something slightly different such as BA Applied Social Science (Children and Young People) at York -
https://www.york.ac.uk/spsw/undergraduate/ba-applied-social-science-children/Lots of ideas to think about - so don't just think 'teaching' if you want to learn more about children/childhood or work in that area.