API/DEPR: Rename DataFrame.applymap to DataFrame.map
- [x] closes #52353
- [x] [Tests added and passed](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#writing-tests) if fixing a bug or adding a new feature
- [x] All [code checks passed](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#pre-commit).
- [ ] Added [type annotations](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#type-hints) to new arguments/methods/functions.
- [x] Added an entry in the latest `doc/source/whatsnew/vX.X.X.rst` file if fixing a bug or adding a new feature.

This PR builds on #52355, so could make sense to look at that first or ignore the first commit in this PR.
In the file: pandas/doc/source/user_guide/style.ipynb there is a linked reference to DataFrame.applymap in a cell, under "Methods to add styles". It is probably best to also relink this, now, to avoid it being forgotten and breaking later. Ok, I’ve done that @attack68. Shouldn't we deprecate this before outright removing? Wouldn't this break user code for 2.1? > Shouldn't we deprecate this before outright removing? Wouldn't this break user code for 2.1?

That's what the current code does I think My mistake - totally misread that Yes this PR just deprecates `DataFrame.applymap`. ```
2023-04-14T22:44:55.0688278Z /home/runner/work/pandas/pandas/doc/source/whatsnew/v2.1.0.rst:249: WARNING: Inline interpreted text or phrase reference start-string without end-string.
``` Thanks,, I’ve updated. Updated. Thanks @topper-123 