Question

the plant is small with woody stem

Answer 1

the short plants with hard stem and branches are called shrubs.

Answer 2

A rose is a woody perennial flowering plant of the genus Rosa, in the family Rosaceae, or the flower it bears. There are over three hundred species and tens of thousands of cultivars. They form a group of plants that can be erect shrubs, climbing, or trailing, with stems that are often armed with sharp prickles.