Your IP is all that's shared. It takes longer, but I use Tor from the start.

However, a malicious remote node can:

-    execute an attack that may reveal the true input of a transaction. This attack does not reveal how much is spent or to whom. This attack has a low chance of succeeding and Feather will warn you if it detects this attack.
-    make your outgoing transactions stick out by manipulating the transaction fee that you pay.
-    associate your outgoing transactions with your IP address (but only if all traffic is routed through clearnet, see Tor support for more information. By default, transactions are broadcast over Tor.)