Looks like Lindsay Lohan could have the role of a lifetime headed her way ... The redhead dined with famed director, Woody Allen, on Friday evening in New York and since then, the rumor mill has been churning at full speed.

A source tells exclusively:

    "Woody is feeling her [Lindsay] out by taking her out to dinner to get to know her. He's considering building a character around her for an upcoming film."

Keep in mind, Woody's always on the lookout for a muse -- most recently, Scarlett Johansson, who starred in three of Allen's films: Match Point in 2005, Scoop in 2006 and Vicki Cristina Barcelona in 2008. Of course, the most famous Woody muse is Mia Farrow, who starred in eight of Allen's films. And let's not forget Diane Keaton, who played in eight of his films.

Tough acts to follow! Is Lindsay up for it?