The given clinical scenario presents a 35-year-old nullipara female with dull aching pain exacerbating during the menstrual cycle, accompanied by imaging findings from USG and MRI. Let's analyze the provided details to reach the diagnosis:
- USG Findings: A heterogeneous mass in the right adnexa.
 - MRI Findings:
 
- T1-weighted images show a hyperintense mass, meaning the mass appears brighter on this type of imaging.
 - No suppression on fat-saturated images, indicating the hyperintensity is not due to fat content.
 - T2-weighted images show low signal with dark shading, characteristic of blood products such as hemosiderin found in endometriosis.
 
Analyzing these details: The dull aching pelvic pain, which worsens during menstruation, is indicative of a condition affected by hormonal changes, such as endometriosis. The imaging characteristics of a T1 hyperintense and T2 low signal mass with dark shading correlate well:
- An endometrioma (chocolate cyst) is known for containing old blood that appears hyperintense on T1-weighted MRI due to methemoglobin and hypointense on T2-weighted images because of the high protein content and chronic blood products. Absence of signal suppression on fat-saturated images rules out a fat-containing lesion like a dermoid cyst.
 
In summary, the combination of clinical and imaging features is most consistent with an endometrioma. Therefore, the diagnosis is Endometrioma.