Of course, in fact, you worship both if you worship one because Shiva-Shakti are nondifferent from one another and are known together as Arhanarishvara.
They are the Father and Mother of the universe, respectively, and the material universe represents their union.
This material manifestation is the union of Shiva-Shakti.
liṅga-yony-ātmikā jātā imā māheśvarī-prajāḥ
Translation:
“All offspring of the consort of the great lord [Maheśvara] of this mundane world are of the nature of the embodiment of the mundane masculine and feminine generative organs.” - Brahma Samhita 5.9
Shiva represents the unchanging, passive masculine aspect – Shaktiman/energetic.
Ma Parvati represents the dynamic, active feminine aspect – Shakti/energy.
You cannot separate them – without Shakti, Shiva becomes “Shav” (a dead body), and without Shiva, Shakti is not controlled or tamed.
- When the masculine aspect is God, the feminine is Goddess.
- When the masculine is Pure Consciousness, the feminine is Pure Energy.
- When the masculine is Purity, the feminine is Impurity.
- When the masculine is Light, the feminine is Darkness.
- When the masculine is Soul, the feminine is Body.
- When the masculine is Witness (passive), the feminine is Actor (active)
- When the masculine is Cause, the feminine is Effect.
- When the masculine is Subject, the feminine is Object.
- When the masculine is Energetic (Shaktiman), the feminine is Energy (Shakti).
- When the masculine is Master, the feminine is Servant.
- When the masculine is God, the feminine is Devotee.
- When the masculine is Goal, the feminine is Path.
The Shiva Purana describes Devi as the nondifferent energy that emerged from Lord Shiva:
yāmāhurbrahmavidvāṃso devīṃ divyaguṇānvitām parasya paramāṃ śaktiṃ bhavasya paramātmana yasyāṃ na khalu vidyaṃte janma mṛtyujarādayaḥ yā bhavānī bhavasyāṃgātsamāvirabhavatkila yasyā vāco nivartante manasā ceṃdriyaiḥ saha sā bharturvapuṣo bhāgājjāteva samadṛśyata yā sā jagadidaṃ kṛtsnaṃ mahimnā vyāpya tiṣṭhati śarīriṇīva sa devī vicitraṃ samalakṣyata sarvaṃ jagadidaṃ caiṣā saṃmohayati māyayā īśvarātsaiva jātābhūdajātā paramārthataḥ na yasyā paramo bhāvaḥ surāṇāmapi gocaraḥ viśvāmareśvarī caiva vibhaktā bharturaṃgataḥ
Translation:
“It is the goddess whom scholars of the Vedas call the ParaŚakti endowed with the divine qualities of Śiva the Paramatma. It was the goddess in whom there is neither birth, nor death nor old age nor other similar things. It was the goddess who manifested herself from the body of Śiva. She from whom words recede along with the mind and the sense-organs, appeared to be born of a part of the body of her husband. The goddess who pervades everything through her greatness was seen like a wonderfully embodied being. It is she who fascinates the entire universe with her Māyā. Really she is unborn but she appeared to be born of Śiva. Her great form is not visible even to the gods. Such a great goddess of all the gods was divided in the body of her lord.” - Shiva Purana 7.1.16.7–12
Hare Krishna