Why worry about it at all.
DD severely damaged her right arm in a toad accident 11 years ago. She has a scar on her visible forearm that runs from wrist to elbow and is 6 inches wide, plus further scars on the back of her hand.
Initially she tried to hide the scar, but she is a swimmer, preferably outside all year round, and she does not wear a wet suit. When she first got back to swimming she felt very visible, but gradually decided not to worry about it.
Now, she wears what she wants whenever she wants and is completely unfazed if people see the full extent of the scarring on her arrm. Some times people do ask what happened and she tells them, but otherwise she wears short sleeves, strappy tops, and generally nobody takes any notice.
So Wilma65 wear what you want and forget about your baggy skin, the only person bothered by it is you.