TL;dr- want me to correct it for you? I'm finally an expert and can offer an explanation on Reddit :)
The thing about light is it changes a lot. If it's on auto that means the camera read the meter wrong. I'm an architectural photographer so I deal with color cast and white balance issues million times a day- photographing interiors, I see this in nearly every photo.
I'll try to explain it in simple terms how I would want it explained to me.
Each photo I shoot is actually 4-10 images layered and painted to be one. That's the only way to photograph an interior of a room and overcome all these issues. Because of the casts and wb- you must use flash to control it. So really I'm not only a photographer, I'm a digital painter. In the old days they didn't have ps, so you had to set multiple lights in multiple rooms (I still do that today but I still use a bunch of layers and paint everything to nail it). Basically the human eye is way more intelligent than any camera sensor will ever be- our eyes correct these lighting issues automatically but to take a photo- you must do it manually.
While I explain- Picture a living room with an a joining bathroom.
I'll start with an ambient image using my camera mounted on a tripod. That means it's all available light (think Windows and a million different light bulbs)
I'll use this as my base layer. The window in the living room and fluorescent bulbs and whatever else will create a blue cast. On top of that if the home has wood paneling or any paint color you'll get more weirdness. I'll light that room up to fix it and paint it over my ambient layer in Photoshop still keeping enough ambient that it looks natural.
Now to the bathroom. I don't know why but in 99.9% of homes bathrooms have weird bulbs that create an awful orange or yellow (warm) glow. Now the camera sensor can only read and correct so much so those are always bright yellow/orange.
Using my flash I'll set my lights in the bathroom and light that up while under exposing it- the flash will correct and make the bathroom beautiful. In post production, I'll pop that layer on top and paint it in.
It's rare I'll have a perfect easy home to shoot - most anywhere you look you'll have 100 light sources all with different wb and color casts think about every single light bulb in your home, paint color, Windows etc.
In your particular photo you shot something with a strong ambient in a cool environment. Looking at the image my assumption is that you shot this image from inside a home looking outside a window. (If your camera is set to auto and this was a day time image - if not you shot this at night??) The flash was directed at the flower. Therefore the meter read the light to be extremely cool and your flash only corrected the flower as that was all it hit.
Finally TL;dr- want me to correct it for you? :)