I've learend that in processing liquid-liquid extractions, emulsions can appear between two immiscible solvents.
For exmaple, to extract caffeine from green tea leaves;
The caffeine in water can be moved to ethyl acetate with liquid-liquid extraction. There were precautions for not making emulsions by gently shaking the two solvents together in the sepearatory funnel. Why is this important? Don't we re-extract from the extracted water again several times to maximize the extraction of a substance(in this case, caffeine)?
If the emulsions were in the water part while extracting, it doesn't matter because we can re-extract the water again with the seperatory funnel.