Limonene can be troublesome, especially when it's actually mixed pressed citrus terpenes with a proportion of more reactive, maybe oxygenated, components. Some of these could potentially have a detergent-like effect, especially after oxidation by air and in contact with strong base. Limonene itself is nowhere near as inert as most petroleum solvents and will slowly oxidise to form carvone (and other compounds), so it's best to avoid waiting too long for limonene-based extractions to sort themselves out.
IME, the carvone contamination clings to the extract like proverbial sh..tuff and led to endless amounts of fiddling around. This is all well and good from an educational point of view but I'm also happy to advise that you may be better off cutting your losses and carrying on with whatever clear portion of the solvent or acidic phase you can comfortably separate. You can then experiment with the remaining mayonnaise while receiving inspiration through the batch of product that - fingers crossed - you'll be able to recover initially.
One of the things that may help if you're determined to get every last speck of goodies from the isolated emulsion is dissolving it in IPA and drying it out with anhydrous sodium carbonate before passing it through a filter. Don't be surprised if up to three liquid phases form, though! In that case, the lowest one will be an aqueous phase which solidifies when even more anhyd. SC is added.
Maybe I'm getting ahead of myself there, so for the moment we can just consider how we know where the goods will be in any given case on account of the pH of the aqueous phase: acidic = goods in aqueous, alkaline = goods in NPS. Then, for good measure, we can recite once more the golden rule of extracting, "don't chuck it away until your
sure you've got the goods".
If all else fails, take up making mayonnaise as you may have a secret talent there
“There is a way of manipulating matter and energy so as to produce what modern scientists call 'a field of force'. The field acts on the observer and puts him in a privileged position vis-à-vis the universe. From this position he has access to the realities which are ordinarily hidden from us by time and space, matter and energy. This is what we call the Great Work."
― Jacques Bergier, quoting Fulcanelli