The Strominger-Yau-Zaslow (SYZ) mirror, in the 'delocalised limit' of Becker et al. (Nucl Phys B 702:207, 2004), of N D3-branes, M fractional D3-branes and N f flavour D7-branes wrapping a non-compact four-cycle in the presence of a black hole (BH) resulting in a non-Kähler resolved warped deformed conifold (NKRWDC) in Mia et al. (Nucl Phys B 839:187, 2010), was carried out in Dhuria and Misra (JHEP 1311(JHEP :001, 2013) and resulted in black M3-branes. There are two parts in our paper. In the first we show that in the 'MQGP' limit discussed in Dhuria and Misra (ii) Assuming the deformation parameter to be larger than the resolution parameter, by estimating the five SU (3) structure torsion (τ ) classes W 1,2,3,4,5 we verify that τ ∈ W 5 in the large-r limit, implying the NKRWDC reduces to a warped Kähler deformed conifold. (iii) The local T 3 of Dhuria and Misra (JHEP 1311(JHEP :001, 2013) in the large-r limit satisfies the same conditions as the maximal T 2 -invariant special Lagrangian three-cycle of T * S 3 of Ionel and Min-OO (J Math 52(3), 2008), partly justifying use of SYZ-mirror symmetry in the 'delocalised limit ' of Becker et al. (Nucl Phys B 702:207, 2004) in Dhuria and Misra (JHEP 1311(JHEP :001, 2013). In the second part of the paper, by either integrating out the angular coordinates of the non-compact four-cycle which a D7-brane wraps around, using the Ouyang embedding, in the DBI action of a D7-brane evaluated at infinite radial boundary, or by dimensionally reducing the 11-dimensional EH action to five (R 1,3 , r ) dimensions and at the infinite radial boundary, we then calculate in particular the g s < ∼ 1 a