For privacy reasons I don't have a Google account.
Having an account only becomes a privacy issue if you fill it with sensitive information. Nothing prevents you from registering an account you will be using only with Kodi and nothing else. You don't have to use your real name when registering it.
You'll have to make sure it is not possible to associate the anonymous account with you personally by analyzing that account's activity, however, that's very unlikely to happen if you don't have a personal Google account to begin with. Were that not the case, it would be possible to associate the anonymous account with your personal account if the data on the two accounts (search requests, watch history, subscriptions, etc.) correlates closely.
Just avoid putting personal information in search requests and comments you leave with the anonymous account and you'll be fine.