It still won't comply.
Broadly a roof extension has to be above the original roof, and a rear extension has to be below the roof, and they cannot touch. You cannot have a hybrid as you cannot extend a roof extension backwards beyond the wall below.
The top surface of the flat roof to the rear extension has to be below the "eaves". (For a pitched roof the "eaves" is considered to be the lowest point on the roof where the wall would meet the roof pitch if no overhang existed). At the moment it is still shown higher. I've sketched the limit of what would be allowed. (refer Class A,A.1,d - pages 11-12 PD technical guidance)
Of course lowering the extension would then mean the dormer wouldn't meet even if it then sat above the wall below. However, there is another rule requiring 20cm of eaves to exist below the dormer. (refer Class B,B.2,b,i,bb - pages 36-37 PD technical guidance). There is some case law on this point which the technical guidance explains as: "This 0.2m set back will be required unless it can be demonstrated that this is not possible due to practical or structural considerations." I however have not seen any examples where someone has done this with an LDC for a dormer and rear extension (although people have built them but whether they comply or not is a different matter). The main case law example that permits breaking this rule is when extending over an original house and outrigger which different roof heights (and thus wrapping over the eaves where the eaves on the taller part continue over the lower part of the original house). So whether you maintain 20cm or not will be a judgement call and perhaps discussion with your Local Authority.