Hospital in very old district of New York
I believe the answer is:
soho
'district of new york' is the definition.
'soho' can be an answer for 'district' (I have seen 'District of London ' mean 'soho' so perhaps 'district' could also mean 'soho'). I am unsure of the 'of new york' bit.
'hospital in very old' is the wordplay.
'hospital' becomes 'h'.
'in' is an insertion indicator.
'very' becomes 'so' (I've seen this in other clues).
'old' becomes 'o' (common abbreviation eg in OE for Old English).
'so'+'o'='soo'
'h' going into 'soo' is 'SOHO'.
Can you help me to learn more?
(Other definitions for soho that I've seen before include "Nightclub area in London" , "Call a large market for software" , "Central London or Manhattan district" , "Colourful show-biz area of West End London" , "Smoke's part" .)