Wendy Williams is clearly happy to be out and about in the Big Apple … flashing a big grin for cameras as she went out to dinner amid her guardianship fight.

The former talk show host grabbed a bite to eat at Tucci — an Italian restaurant in New York City’s trendy NoHo neighborhood — Saturday, arriving in her mobility scooter.

Williams wore a fashionable jacket with blue faux fur trim … and cherry red lipstick, too.

The dinner marked the end of a long week for Williams … which kicked off with police arriving at the assisted living facility where Wendy Williams is living before she was taken to a local hospital to determine her mental capacity.

WW passed the tests with flying colors … and, we spoke to her later in the week about that as well as a judge calling for more restrictions to be put on Wendy.

BTW … you may remember Wendy went out to dinner with her niece Alex Finnie earlier this week — and, sources told us the assisted care facility filed a police report over the meal.

Harvey and attorney Mark Geragos have discussed Wendy’s situation at length on the “2 Angry Men” podcast … including chatting with attorney to the stars Joe Tacopina about possibly repping Williams.