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7 cm is fairly big and must be removed (Lumpectomy
That is the only way - everything else is guess work and delaying the issue.
No conclusions are feasible - The features are rather contradicting... Pain or tenderness suggest inflammation or infiltration / Not mobile' suggests fixation and is not usual in inflammation! / No axillary nodes till now favours inflammation / family history favour malignancy
See a specialist / Delay may be dangerous...
Wishing speedy recovery