At a hockey game, One guy who used to be on my team kept complaining

At a hockey game,
One guy who used to be on my team kept complaining that he was cold
& since were friends he kept asking me if he could wear my sweat-shirt
& all i could think was dude I'm a girl , you wearing my sweat-shirt would be weird
I think I'm right aren't I ?
 Or is that a double standard?