Fenerbahce opened a 31-17 first-quarter advantage with a fast start from Yilmaz, but Szeviep were able to narrow the margin to three at the half.
The women from Hungary were destroyed in the third quarter, however, as they were outscored 33-8.
That effectively put the result beyond doubt.
It was an impressive display from Fenerbahce, who placed six players in double-figures, including Nicole Powell's 19 points.
She was five of eight from behind the arc.
Szeviep were led by Vaida Sipaviciute's 25 points and Emoke Furesz, who finished with 19.
Szeviep still have a good chance of capturing fourth place in the group.
Fenerbahce coach Haydar Kemal Ates:
"I am very happy with my team's performance. They played with their hearts, I congratulate them. We will do our best to get a good position for the Eighth-Finals."