Urinary Tract Infection (UTI): The patient's symptoms of increased sense of urgency of urination and "stealing" (likely referring to a sudden, urgent need to urinate) are classic for a UTI, especially in an elderly female. The absence of other symptoms like frequency, hesitancy, or hematuria does not rule out this diagnosis, as presentations can be atypical in the elderly.

Overactive Bladder: This condition is characterized by urgency, with or without urge incontinence, usually with frequency and nocturia. The patient denies frequency, but overactive bladder could still be a consideration, especially if the sense of urgency is prominent.
Diarrhea-predominant Irritable Bowel Syndrome (IBS-D): The patient reports loose and more frequent stools after eating, which could suggest IBS-D. However, the primary complaint is urinary, making this less likely as the single cause of her symptoms.
Gastroesophageal Reflux Disease (GERD) or other gastrointestinal issues could indirectly cause urinary urgency through increased abdominal pressure or as a result of dietary changes that affect both bowel habits and urinary symptoms.

Neurogenic Bladder: Conditions affecting the brain or spinal cord (e.g., stroke, multiple sclerosis, spinal cord injury) can lead to neurogenic bladder, presenting with a variety of urinary symptoms including urgency. This is crucial to consider due to the patient's age and potential for neurological conditions.
Bladder Cancer: Although less likely given the absence of hematuria, bladder cancer can present with irritative symptoms like urgency. It's essential not to miss this diagnosis due to its significant implications.
Diabetic Autonomic Neuropathy: If the patient is diabetic, autonomic neuropathy could affect bladder function, leading to urinary symptoms. This condition also affects gastrointestinal motility, potentially explaining the loose stools.

Interstitial Cystitis: A condition causing bladder pressure, bladder pain, and sometimes pelvic pain. The symptoms can resemble those of a UTI but without evidence of infection.
Eosinophilic Cystitis: A rare condition characterized by an eosinophilic infiltration of the bladder wall, which can cause a range of urinary symptoms including urgency and frequency.
Systemic Conditions with Autonomic Dysfunction: Such as amyloidosis or certain autoimmune diseases that can affect bladder and bowel function, though these would be quite rare and typically associated with other systemic symptoms.