Pussywillow I would iron the scarf now while it is still damp, avoiding the hems of course! I am sure once ironed it will look restored.
xParisCallingx - I have used Vanish soap bar on stains with some success in the past that seems to be fairly gentle - I wet the stain rub some soap onto and into the stain gently with my fingers and let it soak for a minute or two then rinse it out gently. I find face wash gel works well for makeup stains, it MAY work for tea - no idea - all I can say is give it a try? Just do not iron over the stain if you are still trying to get it out as that will "set" the stain I think and make it harder/impossible to remove it in future. Moral of the story is though to rinse out as soon as you can after the stain occurs - the longer a stain sits on the scarf the harder it is to remove.
xParisCallingx - I have used Vanish soap bar on stains with some success in the past that seems to be fairly gentle - I wet the stain rub some soap onto and into the stain gently with my fingers and let it soak for a minute or two then rinse it out gently. I find face wash gel works well for makeup stains, it MAY work for tea - no idea - all I can say is give it a try? Just do not iron over the stain if you are still trying to get it out as that will "set" the stain I think and make it harder/impossible to remove it in future. Moral of the story is though to rinse out as soon as you can after the stain occurs - the longer a stain sits on the scarf the harder it is to remove.