Just buy them from a real store and be happy that they taylor made for you.
Didn't Specsavers used to have "same day" glasses at some locations in the past?But they're far from next day...
Plus an online store would also tailor make them for you
They don't just give you a pair of glasses at random!

Most frames will need adjusting to someone’s face to make them comfortable, and some glasses just aren’t suitable for certain people. Buying online means you don’t get to try frames for size/fit and also means there is no way to check that the glasses work for customer as expected.
Sure you can. My last order from Glasses Direct they sent me 4 sets of frames that I chose to try. I didn't like two of them but went with the other two. Sent them all back and then placed my order with my prescription. 2 days later I had my real glasses for a fraction of the cost of Vision Express.
That was two years ago and the frames are still going strong.

(first time ever actually..), was prescribed a pair for distance, pair for reading (only went as was having trouble with sheet music at arms length) and to correct astigmatism. They said it wasn't too bad and I might not adjust to them but tried them anyway. Both pairs imprve things at arms length, distance pair for further away too, make colours (seem) darker but my monitor is no longer a rectangle, it's a trapezoid kinda shape.....that can't be right surely? I also thought a set of fold down steps had got bent earlier but it was the glasses making it seem like they were!
was thinking of getting a pair just to correct the astigmatism, no Sph + or - so thought I'd just do it online
I still stand by my statement that you’re not going to get your glasses properly fitted to you if you don’t know what adjustments are required to make them fit yourself.
Most frames will need adjusting to someone’s face to make them comfortable,
and some glasses just aren’t suitable for certain people. Buying online means you don’t get to try frames for size/fit and also means there is no way to check that the glasses work for customer as expected.
I used to make the glasses in the local Vision Express store so know just how wonky some of those frames are by the time the lab technician has assembled them. I’ve also seen how many incorrect pairs of glasses make it to customers purely from the optician or sales staff entering the script incorrectly into the system.
As cheap as a lot of the online glasses stores are, I’d still always buy from somewhere with a physical presence as the service you get from them is worth the extra you pay, specially the smaller independent stores.
What's your prescription and how old are you? The skewed shapes might be adaptation to the astigmatism in your prescription, but in reality if you have any doubts either go back to where you got them from and ask for a recheck or get another test. And ordering a pair as you describe would probably be a total waste of time...the sphere component is integral (although of course it depends upon your prescription and what your intended use is).
I'm 36
Left: Sph -0.5 Cyl +0.75 Axis 80
Right Sph -1.25 Cyl m+1.75 Axis 92
Add 0.75 for reading
Same for me, I have a similar prescription (slightly shortsighted with astigmatism) and the definition is noticeably better wearing glasses but the trapezoid distortion means I don't wear them.went for an eye test last week (first time ever actually..), was prescribed a pair for distance, pair for reading (only went as was having trouble with sheet music at arms length) and to correct astigmatism. They said it wasn't too bad and I might not adjust to them but tried them anyway. Both pairs imprve things at arms length, distance pair for further away too, make colours (seem) darker but my monitor is no longer a rectangle, it's a trapezoid kinda shape.....that can't be right surely? I also thought a set of fold down steps had got bent earlier but it was the glasses making it seem like they were!
Looking at that prescription and your symptoms I'd probably get another test done. When you do this you'll notice that the result you get is different to this first test. That's normal and will be in part because you're more familiar with the test process, in part because people vary on a day to day basis and lastly because it's being done by someone else.
At 36 the reading add seems highly irregular, and I'd guess the reason you're having issues is down to your left eye, the astigmatism in particular. Since the axis lies close to 90 in both eyes it's likely that it's the magnitude and difference between the two that's causing you issues, although it's also possible that the axis is just wrong. However, given this is your first pair of glasses this could be something that would settle down as you persevere and get used to them.
As far as glasses for VDU use...don't get rid of the Sphere component. It'd have a detrimental effect for that purpose. And again that Add seems weird for a 36 year old.
Same for me, I have a similar prescription (slightly shortsighted with astigmatism) and the definition is noticeably better wearing glasses but the trapezoid distortion means I don't wear them.
Have had my eyes tested twice a few years apart and at different places and have 2 pairs a glasses (again from different places) each with the same problem.