Hi Smurfy1 and congratulations that you finally have your DSD with you. I am sure this wasn't easy and must be a great relief for all involved :)
As for the shots, don't worry. She made it to almost 11 without them, she'll have a couple of weeks to sort things out. It is going to be a bit difficult to get her properly immunised, because some of the shots that babies/younger children get are actually not licensed for 10 year olds. On the other hand, there are a number of vaccines she will not need to get, or get fewer doses of, because she is 10.
The easy ones:
Pneumococcal: she doesn't need, risk age is under 5 years old.
Hib: she doesn't need, risk age is under 2 years old.
Meningitis: get one shot - that will carry her safely through her teens and early adulthood. The vaccine is good for all ages.
MMR: get two shots, spaced at least 4 weeks apart. The vaccine is licensed for all ages.
The more difficult ones:
There are no vaccines specifically licensed to get an 11 year old her basic immunisation for Diphtheria, Tetanus, Pertussis and Polio, because children will usually get these as boosters. However, the full strength DTaP/IPV booster is formulated in such a way that it could be given to an 11 year old as a primary series. That is this one here: www.nhs.uk/conditions/DTaP-IPV-booster/Pages/Introduction.aspx Discuss this with your GP. The best schedule for this is a three shot schedule with the first two shots 2 months apart and the third about 8 months after the second. Once she has those, she'll have the same sort of immunity as any other child on the regular schedule.
I hope this helps - don't hesitate to ask more questions if you find something confusing :)