I did engineering , (a month of electrical, two years of electronics & communications engineering, three months of mechanical, one month of digital testing, one month of satellite data communications, one month of circuit design, some time on electronic warfare, learned to shoot a nine-millimetre semi-automatic pistol quite accurately, overnight orienteering in strange pieces of the UK, months more programming/coding, two whole weeks of soldering and only soldering, six weeks of project design - virtually making a cardboard radio, and others that I've probably forgotten about*) it was a while ago (* just remembered metrology, applied physics, electron microscopy, semiconductor fabrication & analysis, lecturing, radar)
The key thing for me was that my course was closely associated with a major engineering company, all holidays were spent working - getting paid, and after three years I not only had my qualification - but I had spent sufficient time embedded in a company that I was fully prepared for absolutely any and all jobs. I'm still not completely sure why I was taught, encouraged to learn to shoot, but I have my suspicions!
So Engineering is V A S T , perhaps you have a hobby that fits into an area of engineering, trains, cars, radio ....?
You can certainly enter it 'blind' as often, say at Oxford, the first year would be common to all strands of engineering - and you could naturally sense which direction you find most interesting and tailor the rest of your degree in that direction. It has quite a bit of applied maths, but we often joke that an engineer is just an estimator - trying to solve a project/system to a 95% confidence level. That usually is enough for the real-world, except perhaps some nuclear , chemical, biological systems - where rather more precision is needed.
I personally was paid OK, but tripled my salary overnight when I left the UK, I was paid in my second job as an engineer, one year after graduating, in very large bundles of cash, enough to fill a small briefcase , every month. And it was all legal and tax-free ( I kept the King's telephone working, wasn't beheaded, and brought the first television to an entire region of yemeni borderlands - I made the hospital blue-light radio system work, when upon delivery it didn't) . Four years after graduating I was being paid more conventionally - rather well paid, certainly >£50K , into my swiss bank account, whilst I helped make antimatter as my day job. I now do renewable energy, innovation & standards development, and I'm nominally paid more than Boris.- depending on exchange rates, but I might just do the job for free , 'cos I like it!
the typical "general engineering" company that I can point to is a "consulting engineer" - who entire countries or regions come to , to build islands, airports and renewable energy systems. They don't get that much publicity, and UK is reasonably terrible at paying staff well for these sort of projects, or completing the fourth runway, or a garden bridge or a hospital for children in Edinburgh or a plan to rationally do.....
so consider
https://www.arup.com/ (I would've said current biggest & best in world, or is that Jacobs?)
https://www.jacobs.com/newsroom/news/enr-names-jacobs-no-1-design-firmor here's a 'random' page - which has a few more UK based names/projects that you can look-up yourself
https://100awards.newcivilengineer.com/winners-2017Oh, and you might just need to learn mandarin as you are working, I picked up Arabic, Dutch, German, French, Italian, Russian in varying levels..