Urinary Tract Infection (UTI): Given the patient's age and sex, UTIs are common and can cause frequent urination. Smoking is also a risk factor for UTIs due to its negative effects on the immune system and urinary tract health.

Overactive Bladder: This condition is characterized by a sudden, intense urge to urinate, often accompanied by frequent urination. It's common in older adults and can be exacerbated by smoking.
Benign Prostatic Hyperplasia (BPH) in Women: Although less common than in men, some women can experience urinary symptoms similar to BPH, including frequent urination, due to enlargement of the periurethral glands.
Diabetes Mellitus: Smoking is a risk factor for type 2 diabetes, which can cause frequent urination (polyuria) due to high blood sugar levels.

Bladder Cancer: Smoking is a significant risk factor for bladder cancer, which can cause symptoms like frequent urination. Early detection is crucial for effective treatment.
Interstitial Cystitis: A chronic condition causing bladder pressure, bladder pain, and sometimes pelvic pain. The symptoms can mimic those of a UTI or overactive bladder but require different management.
Kidney Disease: Chronic kidney disease can lead to polyuria and is more common in smokers due to the vascular effects of smoking.

Neurogenic Bladder: A condition where a person has trouble with bladder control due to a brain, spinal cord, or nerve problem. It's less common but should be considered if other diagnoses are ruled out.
Tuberculosis of the Urinary Tract: Although rare, it can cause frequent urination among other symptoms. Smoking might not be directly related, but it compromises overall health, potentially making one more susceptible to infections.
Cancer of the Urethra or Ureters: These are rare cancers that can cause urinary frequency among other symptoms. Given the patient's smoking history, it's essential to consider all possible malignancies in the differential diagnosis.