Lot of so called evergreens have lost their leaves this winter. I would adopt a wait and see policy. It may take a month of more before the shrub regenerates. Then if the piece is still leafless, you may prune out the dead area and let the live part fill the gap.

That looks like a Griselinia and they are tough plants, i've had several and they're bomb proof !!!
I agree that leaving it alone until it starts forming new shoots will allow you to see that it's going to rally-round again and form new growth where it's lost those leaves.

Thank you both for your comments, will see what happens in the next month or so.

Take Care

Agree with Owdboggy - the plant is obviously still healthy, but had you known what kind of winter we were going to have, you probably wouldn't have cut off the growth in the autumn! Foresight would be wonderful... We had a mild October and November, so likely the plant put out new growth where you pruned it, which then got killed by the severe weather in December and January. If you end up with a bare patch in the middle and no growth there by June, you may need to reduce the height to encourage it to fill in the the gap.

That is encouraging news thank you very much.