Milky after cooling could - and most likely does - mean your DMT already has started precipitating from the saturated solution, so syphon it off and stick it in the freezer.
BUT - because you used lime, it might (also) mean that some lime particles are in the naphtha. To check for this, gently(!) warm your naphtha in a heatproof(!) dish, of course for safety's sake using a warm water bath. The milkiness should clear completely.
If it doesn't go away after heating up to the initial extraction temperature, you'll need to leave the lime to settle out and syphon off the clear naphtha, or filter the naphtha. An alternative to separating out the lime would be to proceed with the freeze precipitation and then clean up the DMT afterwards with a mini A/B.
With the remaining bark soup, optionally add the sodium carbonate - because it sounds like maybe your pH has stayed up pretty well - and do a couple more naphtha pulls.
“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