The Blockchair Privacy Indicator only tells you how easy it is link inputs and outputs as belonging to the same person. It doesn't tell you anything about who that person is or how easily or otherwise they could be identified. Without seeing the exact transaction I can't be overly specific, but we can look at the two indicators which have been displayed - "Round value" and "Output value x100".
One of the outputs of the transaction must have a "Round value" - something like 0.5 BTC, 1 BTC, 0.35 BTC. It is highly unlikely that a change value would be perfectly rounded, and so it can be assumed that the round value output is the recipient, and the other outputs are the change.
One of the outputs of the transaction is more than x100 bigger than the other. It is more likely that this output will be the change.
Essentially what Blockchair is telling you is that it is possible to tell which outputs from the transaction are the change and which outputs are to the recipient. Since your address is brand new, as you say, if it is otherwise unlinked to your identity or other addresses then that is far as the analysis can go.
If you wanted to improve the privacy on this transaction to make it less obvious which outputs were change and which weren't, then you could add some extra satoshi to the payment to avoid it being a round number (so instead of paying 0.1 BTC, pay 0.10048394 BTC, for example), and you could also split the change in to multiple outputs of similar sizes.
For more info about Blockchair's Privacy score, see this page:
https://blockchair.com/api/docs#link_M6