ENH: Adding engine_kwargs to DataFrame.to_excel
- [X] closes #52368
- [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).
- [X] 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.

@rhshadrach Pinging for review since the CI tests aren't all green. Looks like one test failed, and the failure was not related to my enhancement or unit tests.  @rhshadrach @mroeschke I believe the PR should be good to go at this point. Looks like the test failure for test-arm is unrelated to my push. While writing this comment,  it appears that the test is in a maintenance state.  Thanks @rmhowe425!