If you want the outside of the flower to be the correct colour/exposure then try focussing on that first, keep the shutter button half depressed and recompose the shot (ie move the camera back so that the bee is in the centre again). Then press the shutter button fully.

It also depends how you are metering the scene in the camera (spot metering based on one point of the scene or matrix metering based on the average lighting across the whole shot) since this makes a difference in how the camera determines the correct exposure.

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