Caring for the most intimate needs of a patient you've just met is tough work.
Literal
Meet just-ばかりの [gen-の] patient [gen-の] lower [gen-の] care do [nominalizer-の] [topic-は] tough-[attr-な] work is.
下の世話 ('care of the lower (parts)') is a euphemism for helping patients with toilet needs, bathing private areas, and related intimate care — a core part of nursing work. 会ったばかりの is the past verb + ばかり + の, 'just having done X, who has just X.' 大変なお仕事 ('tough work') with the お prefix on 仕事 gives it a slightly respectful framing. A sympathetic observation about caregiving.