See breast surg
5 weeks is not an appropriate interval.
A breast surgeon will understand this and often will workin a new patient w/ a lump within 24-48hrs. Any breast surgeon should have breast ultrasound in their practice as an extension of the physical exam which can often immediately tell if something is cystic (benign) vs solid. Even if a mmg is desired, in most metro areas, it should take only 1-2 days.