I would say your baby is giving you a big sign that she is not ready to eat solid foods yet. Here is an extract from the NHS website about knowing when your baby is ready.
"When is the right time to introduce solid foods?
Starting solid food at the right time is vital for your baby’s health. Experts advise you to wait until your baby is around 6 months. At Start4Life we recognise the importance of treating every baby as an individual, so here are three key signs that when present together mean your baby is ready for solid food:
• They can stay in a sitting position whilst holding their head steady
• They can co-ordinate their eyes, hands and mouth (ie look at food, grab it and put it in their mouths themselves)
• They can swallow their food (if they are not ready most of it will be pushed back out)
A good test is the banana challenge - if your baby is able to sit up and hold its head steady, reach out and grab half a peeled, ripe, banana and eat some of it all by themselves, they are ready!"
I'm not sure why your health visitor thinks your baby would be ready for solids early just b/c she is big. Babies are ready for solids when their digestive system is mature enough (typically 6mo) it has nothing to do with their size. If baby is hungry s/he will take more milk. I tend to take HV's advice with a pinch of salt as they generally give the advice they have always given which is now out of date in light of the new research re giving solids too early and gut infections.
I'm not aware of any research that shows a baby will be a fussy eater unless they are fed solids early. If you give your baby a variety of healthy foods once she is ready and avoid too many salty, fatty or sweet foods she should be happy to continue eating this way.
Like PPs say I would wait a while longer and try her again.