Following any peel treatment, you MUST apply a broad-spectrum sunscreen. “Physical sunscreens”, that is, sunscreens containing only titanium dioxide/ zinc oxide, are preferred.
Your skin is to be considered as “compromised” as its top layer has been dissolved. So it will surely sensitive to sun for 4-6 weeks.
The use of SPF 30+ is essential in sensible aftercare, at least in light of the money spent on the peel treatment. One dermatologist’s advise is not to bother with peels, to patients who insist on tanning themselves in natural sun or in sunbeds.
Most ethical and knowledgeable doctors will emphatically advise such patients (who use sun-beds or persist in outdoor tanning) to not have a peel.
The decision to have a peel (or not) thus depends on your skin quality and condition and skin type. Peels are highly effective treatments, but not magic wands of anti-aging.