If you really want to do medicine, then go for it! The last thing you want to do is go down another career avenue, only to know each day that’s its "second best", with the though of Medicine lingering in the background.
BUT, not everyone thinks like that, so here’s some things people I know who done biomed went into (you'd be surprised).
Biomedical scientist (obv). These jobs are very lab intensive, so if you don’t like labs you might want to avoid this. Also the money wise it can take a few years for you to build up to the higher pay bands in the NHS.
Clinical scientist : This isn’t totally lab focused, and may even have some element of patient contact depending on which speciality you go into. Also I think these scientists start on a higher NHS pay band?
Perfusionist: Work in operating theatres, for example, in heart by pass surgery, keeping an organ/ limb perfused to stop it dying etc. Its something one of my friends who didn’t get into medicine has gone into, as its more clinically related, and you get to work in an operating theatre.
Research: PhD's MSc's etc. Some people I know have stayed on at their biomed uni working in the research labs where they done their final year projects. I assume they're intending to go into research and academic medicine.
Teaching: I know someone who's doing some government scheme where you work a while as a teacher, not sure what its called. One friend has gone directly into doing a PGCE (I think that’s what its called), which allows you to become a secondary school teacher.
Pharmacist: Once again, one of my friends that dindn’t get into medicine is going on to become a pharmacist. The reason why he decided on this was so he could become a clinical pharmacist, I think where you specialise in a area like cardiology etc. Here they do work in hospital wards/dispensaries/making medications and get a degree of patient contact. And also apparently pharmacists get a certain degree of prescribing powers too, but its supposed to be quite hard to get to this stage.
Banking: And if you want a complete career change, you could do something like banking! My best friend is doing it after biomed and absolutely loves it.
In summary, you can do pretty much anything!