If you are using Grafana v7 you could try using the old table panel from v6 - although the new v7 table panel has some good features, it is missing lots of features that were in the v6 panel.
Edit your panel JSON and change:
"type": "table"
to
"type": "table-old"
That will change the panel version (you can always change back). That may handle wrapping differently and solve your problems, if not you could try the Sanitize HTML option on a column and then use html tags within your output to format text or insert newlines however you want.