Yep, May was put there by the stealth remainers ...
Why was she a remainer ? Well I think she liked being Home Secretary and so she had to stay in the Government to keep the job. As a cabinet member she was bound by collective responsibility and therefore had to support the Governments policy, or resign. Like everybody else she expected Remain to win so following the official line meant she kept her job without revealing her true thoughts unnecessarily
She's a clinger, not a Thatcher