While it IS a live vaccine, it is attenuated which means it has been massively weakened. The new nasal spray is actually even safer & more effective than the old nasal spray was. Anyone with a normal immune system is NOT at risk of coming down with the flu due to receiving the nasal spray vaccine or any viral shedding from others who have just had the spray vaccine.
It is only those who have poor immune systems from long term chronic conditions, being a newborn or taking immune system suppressing medications like steroids that are at risk and should not 1) get the nasal spray vaccine for themself or 2) be around anyone who has for the first 48hrs after the spray UNLESS they themselves have had the flu shot at least a couple weeks beforehand. Most people in this category get the injected flu vaccine and it is a matter of timing more than anything.
The NHS webpage states:
“Flu vaccine for people with medical conditions
The injected flu vaccine is offered free of charge on the NHS to anyone with a serious long-term health condition, including:
chronic (long-term) respiratory diseases, such as asthma (that requires an inhaled or tablet steroid treatment, or has led to hospital admission in the past), chronic obstructive pulmonary disease (COPD), emphysema or bronchitis
chronic heart disease, such as heart failure
chronic kidney disease
chronic liver disease, such as hepatitis
chronic neurological conditions, such as Parkinson's disease, motor neurone disease, multiple sclerosis (MS), a learning disability or cerebral palsy
diabetes
problems with your spleen – for example, sickle cell disease or if you have had your spleen removed
a weakened immune system as the result of conditions such as HIV and AIDS, or medicines such as steroid tablets or chemotherapy
being seriously overweight (a BMI of 40 or above)
This list of conditions is not definitive. It's always an issue of clinical judgement.
A GP can assess you to take into account the risk of flu making any underlying illness you may have worse, as well as your risk of serious illness from flu itself.
The vaccine should always be offered in such cases, even if you're not technically in 1 of the risk groups.
If you live with someone who has a weakened immune system, you may also be advised to have a flu vaccine.
Speak to a GP or pharmacist about this.”
So, OP speak to your GP about your DD getting the flu jab instead of spray.