String Algae

We put our pond in this summer, about 4500 gallons, didn't get it going
until mid August. 17 small goldfish, a few plants, all seem to be doing well
and water temp is down to about 45 so we're not feeding the fish anymore.
While it was hot this summer, water stayed clear and no issues, now that it
has gotten cold, we're starting to see string algae, will this grow all
winter (we're in Northern Virginia) or will it die off in the colder
weather? Trying to decide if we should treat it or just remove it by hand
for now, not getting a lot but just caught me off guard given how cold the
water is when it appeared. Thanks.