Newcastle, Nottingham, St Georges, Swansea, Warwick
If you do a science degree then Kings
No. You apply the year before the year of med school entry you are applying for; for example if you apply in october 2017 then this would be for september 2018 med school entry.
Therefore for graduate programme entrants it is possible to apply in the final year of their degree - for example to apply in october 2017 for september 2018 entry if academic year 2017/18 is their last year of their degree, and they will graduate with their degree in June 2018. In this case the med school gives a conditional offer, so they have to get e.g. at least 2.1 in order to meet their offer and get into that med school.
It is also possible to get your degree first and then apply for med school. The OU is a bit different in that you complete all the modules needed for your degree, and as you can do this at your own pace your graduation may not necessarily be in the summer. You need to complete your degree before the med school start date, usually by the August before (as this is A-level results day which is when unis finalise places).
They will only consider a degree that you have already done, or if you are doing a degree and applying in the last year of your degree, they will consider that degree as you have already started it and will finish it before med school entry.
However if they said this is response to you asking them about an OU degree they may be saying that they require you to finish your OU degree before applying as an OU degree does not have a fixed finish date. Different unis may have different views on this, so it would be best to contact them individually.
Here is a guide to applying to graduate entry medicine which will be helpful to you
https://www.thestudentroom.co.uk/content.php?r=15889-graduate-entry-medicine-a-guide