Yes. Milk has some carbs but that’s fine. Don’t drink tea with milk when you are trying to enter ketosis, but start having milk after a couple of weeks of entering into Keto diet. For taste, thick, high fat milk is much better and helps in Ketosis.
Tea without sugar is a good idea. However, dairy has carbs and sugar both. If you are addicted to tea with milk, I recommend not more than one cup a day. Rest of the day, stick to black coffee and green tea.
I am currently on this diet and do take one cup of tea with very little sugar. I am doing fine and getting all the benefits of the diet.