Depending on how it's done she might. DS had an op last year and the anasthetic bit was traumatic for me. The put "magic cream" on him for 3 hours but then couldn't find veins anyway. Then tried mask - terrified him. Then a much oldr guy took over - mid/late sixties - and did through veins in wrist. DS said "why are you doing this to me?" - I was in a real state.
Op went fine.
DS came round from anasthethic and was fine.
Now remembers it all but thinks it's funny - all he remembers is the mask and that once the "nice" man gave the jab in his wrist the other man forgot to put the mask on! He even remembers saying "why are you doing this to me? but thinks it's funny.
It will be MUCH more traumatic for you. DD will be fine!