Final answer:
The most likely diagnosis for the symptoms described is diverticulitis, characterized by acute abdominal pain, changes in bowel habits, and the presence of blood in stools, which matches the symptoms and clinical presentation of the patient.
Step-by-step explanation:
The most likely diagnosis for a 68-year-old woman with a history of severe left-sided abdominal pain, diarrhea, hematochezia, a heart with an irregularly irregular rhythm, and guaiac positive mucus mixed with flecks of bright red blood on rectal exam is diverticulitis. The absence of fever and the localization of pain on the left side, along with tenderness and the history of hematochezia (bright red blood in stools), are typical of diverticulitis.
Diverticulitis often presents with acute, localized, and severe pain, which can be associated with changes in bowel habits such as diarrhea. The patient's recent travel could suggest infectious colitis, but given the patient's age, a history of atrial fibrillation which may complicate as ischemic colitis, and the absence of systemic signs of infection such as fever, diverticulitis is more likely. Her history does not strongly suggest ureteral lithiasis or small bowel ischemia, given the lack of symptoms typical to those conditions such as flank pain or signs of systemic vascular disease, respectively.