Episkeptomai means to visit, to look upon with care, to inspect and provide for, or to select/choose from. It is the verb form behind episkopos (overseer/bishop). The word implies active, purposeful attention — not merely stopping by but coming to examine the need and provide for it. God 'visits' His people with salvation; believers are to 'visit' widows and orphans.
This word is central to the theology of incarnation and practical holiness. When God 'visits' (episkeptomai) His people in the Exodus or in the birth of Christ (Luke 1:68 — 'He has come and redeemed his people'), He sees need and acts. James 1:27 defines pure religion as visiting orphans and widows in their affliction — using the same root. The bishop/overseer (episkopos) is one who embodies this character: actively caring for, looking after, providing for. Christ is the ultimate episkopos of our souls (1 Pet 2:25).