If she happily eats veg then don't worry about fruit at all, it's not important. Veg has all the nutrients anyway and much less sugar.
No reason she can't have scrambled eggs and sprouts for breakfast if that's what she likes.
DD likes buttery broccoli with grated cheese (next to it, not on it or meltdown ensues!) for breakfast.
If she likes eggs that is great. You can mix grated cheese into scrambled eggs, that is scrummy.
Or do an omelette and then you can throw in some peas or peppers or cold potatoes or cheese or chicken or whatever takes her fancy. Can cut it into finger food strips if you like.
Baked beans and cheese goes down well here, DD is 19 months and can feed it to herself.
I got totally hand slapped on a couple of threads recently for saying my DD loves smoked fish and will eat smoked trout or salmon with scrambled eggs or broccoli some days. But tbh her portion sizes are tiny - 1-2 tsp of fish so I can't say I'm concerned about the salt levels in the slightest.
Today she ate bread crusts for breakfast. It's swings and roundabouts!
I think you need to get away from the idea of breakfasty foods for breakfast. My toddler ears whatever really - yes toast or cereal or pain au chocolat but also eggs, fruit, ham, cheese - whatever she fancies.
How about dry cereal - DTs, also 18 months love dry cornflakes and golden grahams (not my favourite choice due to the sugar but they at least eat them), cheerios etc? There is a BLW receipe for finger food porridge sticks - if you google you should be able to find it.
Have you tried tinned fruit - mandarins and peaches - my two seem to love the texture as its easier to eat.
Annabel Karmel does breadsticks wrapped in ham too although still not helping with the fruit intake. What about fruit in jelly (perhaps not for breakfast though!).
I have 18 month old twins - one fussy eater and one not at all fussy. Breakfast was until recently my only chance to get fruit into the fussy one because she would have berries/bananas chopped up into porridge or weetabix, but as of three weeks ago we suddenly no longer eat cereal. I think she has issues with texture, so cereal brings on a lot of gagging and vomiting. I am seriously running out of ideas for breakfast. It's down to toast every day now. I've tried pancakes, fruit toast, croissants. All rejected. Does anyone have any magic ideas for dry, finger food style breakfasts? She won't do chopped up fruit apart from satsumas, does a bit of yoghurt but spits out hidden fruit, likes scrambled eggs but can't get fruit in that! She's not a fan of sweet stuff. Would eat a brussel sprout over a spoon of ice cream.