Vaccination provides complete protection agianst these diseases in most cases, but some children may develop greatly ameliorated disease. Measles is the one of the three diseases, which may cause the most severe disease, sometimes with a fatal outcome or other sever complications, in unvaccinated children. The combined MMR vaccine is safe and effective and definitely should not increase the allergy problems. I cannot see why you want to postphone it until later, because it will implies that she will only be protected from a later age and the chance of complications do not decrease as they get older.
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