It is possible smoking suppresses your immune system and thus you don't have symptoms until you stop smoking. It is the immune system response to infection that often causes symptoms that are worse than what the bug itself causes. So if the immune system is suppressed, then the symptoms won't be there.
Another thought is that something in the cigarettes is keeping the lyme in remission, but without the smoking, the lyme comes out of hiding and causes symptoms.
And another thought is that you are detoxing when you aren't smoking, a process that would not be able to happen (or not be able to happen as quickly) while smoking.
Maybe instead of quitting cold-turkey, you might need to slowly wean yourself off the cigarettes...then perhaps your symptoms wouldn't be so intense so suddenly, and there may be things you can do to help with detox and immune support while your body is adjusting to being without the smoking.
Chronic Lyme Disease, Gluten & Sulfite Sensitivity, Many Food/Inhalant/Medication/Chemical Allergies & Intolerances, Asthma, Gut issues (dysmotility, non-specific inflammation), UCTD ("Secondary Lupus-Like Syndrome"), Osteoporosis, Pancytopenia, chronic malabsorption/malnutrition, etc.; G-Tube; Currently TPN-dependent.
Meds: Zofran, Pulmicort, IV Ceftazidime, Heparin (to flush PICC line), Claritin, Colloidal Silver (used topically), probiotics, homeopathy.