The 30-year-old "My Week with Marilyn" star stepped out with public relations worker Hannah Bagshawe and the pair indulged in traditional English afternoon tea at the All England Tennis Club, reported Daily Mail.
"They're terribly sweet together and Eddie is awfully protective. They held hands all day and while everyone else was outside drinking on the terrace Eddie took her inside and they shared afternoon tea from one plate. He even buttered her scones for her," said a source.
Last year, Redmayne was linked to fellow British actress Carey Mulligan, who went on to marry folk rocker Marcus Mumford in April.
