Why does my Clamatis only have a few blooms this year?

I have a beautiful large Clametis, growing in and with a Old Climbing Rose..
Bloomed beautifully for 2 years. Now this year only has a few blooms.
I cut it and the rose back, and have fed it Rose food. Did this hurt or hinder the Clematis?? What can I do? .. It gets Morning sun, and lots of leaves, etc., just not many blooms..
Do I need to cut back farther this year.. Help..
Thank you!!

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