I will try to upload some pictures but I do not know if this will be enough... The angle might not be very good for what you need to see... but let's try!
As they are now the heel is pretty close to the end - but not "over the end". I actually started off trying half a size smaller but the conclusion was just that the heel would be too much sticking out over the edge and that therefore they were too small. So the ones I have now are half a size up compared to the ones I begun with. I did not notice any hurt when I was in the shop and therefore thought that they were ok but of course I just hade them on for a very short while... compared to at home when I have had them on for like halv an hour or so.
In the shop I was unsure of whether the heel was actually still to close to the end of the shoe so I asked the SA for advice "should I try an even larger size?" And I remember she said "no" and mentioned that is so the "H" would also be larger. As I then did not think that there might be a problem with the "H" being too tight I just went with her advice and got the pair that I had on... but at least know I now that if I was to take a larger size the "H" would probably also be a bit wider - from what she stated.
The leather on the "H" sort of carves in / goes a bit in to my foot so I feel that a part of my foot is almost "coming out" towards the outer side of the shoes in the gap / in the middle of the "H" where there is a "gap" in the letter. I hope that it is clear what I mean. When I wear them for a while and I take them off I have marks from the "H" going in to my feet. And still... just by adding thin socks there is no problem... so I am really confused. But how sad would it be to not be able to use them if they continue hurting! It is really difficult to know how things might develop when starting to use them more...
I hope you are able to see something useful from my pictures and thank you ALL for taking the time to comment on this issue... a small thing for some but a huge thing for me right now.