Mother-Kālī is generally depicted as an Ugra-Rūpa deity, having a fierce and/or subduing form.
Now, although, not explicitly mentioned about Mother Kālī, one may derive a corollary from the Kāmika-Āgama, basis what it says about the idols of Ugra-type of deities.
So, as per the Kāmika-Āgama, let alone installing an ugra-form idol inside a home, such ugra-mūrtis must be installed outside or at the village periphery only.
(२६. ग्रामादि देवतास्थान विधिः)
26, Pūrvapād, Kāmika-Āgama
ईशविष्ण्वोस्तु मूर्तिस्याद् द्विविधा परिकीर्तिता ।
उग्रा शान्ता च
तत्राद्या उग्रकर्मरता मता ॥ २२ ॥
- The divine forms of Śiva and Viṣṇu are of two kinds. They are the subduing forms (ugra mūrti) and the sublime forms (śānta mūrti). Of these two, the subduing forms are much intent on doing fierce activities to control the evil forces.
शान्तकर्मरता शान्ता मूर्तीरौद्री तु बाह्यगा ।
शान्ता तु मध्यगा
प्रोक्ता ग्रामादौ सर्ववास्तनि ॥ २३ ॥
- The benign forms are much intent on doing gentle activities to benefit the devotees. The fierce forms of Viṣṇu and Śiva are to be
installed outside the village or city. Their benign forms are to be
installed in the middle of the village. This rule is applicable to all
types of villages and cities.
प्रोक्ताश्शेषाश्शन्ता उदाहृताः ॥ २४ ॥
- The subduing forms of Lord Śiva are Gajānataka , Kāmadahana, Tripurāntaka, Kālāntaka and such others. All other forms of Śiva
are known as benign forms.
विश्वरूपं नृसिंहं च वटशायिनमेव च ।
जामदग्न्यं च जानीयात् उग्रं
वैष्णवविग्रहम् ॥ २५ ॥
- The subduing forms (Ugra-forms) of Viṣṇu who once appeared as reposing on the leaf of a fig tree are Viśvarūpa, Nṛsiṃha, and Paraśurāma.
ग्रामादेर्बाह्यदेशे तु काननादौ प्रकीर्तितः ।
रौद्राणां इह देवानां
स्थापने फलमुच्यते ॥ २६ ॥
- The fierce forms of Śiva and Viṣṇu are to be installed on the outskirts of the villages and cities. They may be installed in the
forest and other places. The effect of installing the fierce forms is
पूर्वे चेत ग्रामनाशं स्यात् वह्नौ दुश्शीलगास्त्रियः।
याम्यदेशे तु प्रेतदैत्यादिभिर्भृशः ॥ २७ ॥
- If it is installed in the east side, destruction of village will occur. If installed in the south-east, the character and activities of
women living in the village will become corrupted. If installed in the
south, much destruction will be brought by the evil groups of pretas
(evil spirits having a hold on corpses) and asuras.
रोगैस्तु नैर्ऋते नाशं शोकस्स्यावरुणांशके ।
विद्यात् राष्ट्रसंस्थां तु सौम्यके ॥ २८ ॥
- Installation of fierce forms in the south-west direction will result in decay and death by diseases. If installed on the western
side, people will be engrossed in grief. If installed in the
north-west, life-system will be affected by insurmountable
difficulties. If installed in the north, nationwide calamity and
distress will occur.
सर्वसंपत्तिरैशान्यां पुत्रपौत्रविवर्धनम् ।
सर्वत्रान्येषु वा मता ॥ २९ ॥
- Installation of such subduing forms in the north-east direction will yield all sorts of prosperity. It bestows healthy growth and
longevity to the descendants such as sons and grandsons. These points
are to be held in mind while installing the fierce forms in a village.
Same directions are applicable to other places also.
ग्रामेकुड्यन्तरस्थानेष्वष्टदिक्ष्वपि शस्यते। न मध्ये स्थापयेत्
रुद्रमूर्तिं ग्रामे विशेषतः ॥ ३० ॥ रुद्रमूर्तिस्थिताचेत्तु ग्रामादौ तु
तदग्रके। शान्मुर्तिप्रतिष्ठां तु कारयेद्देशिकोत्तमः ॥ तटाकं
कारयेद्वापि तेन शान्तिर्विधीयते । ३१
- 30 to 31. Fierce forms may be installed very near the defensive wall built along the village boundary in all the eight directions. Such
frightful forms are not to be installed in the interior of the
village. This rule is to be strictly observed. If a frightful form is
installed even in the recommended locations of villages and other
places, the foremost Priest should install a benign form in front of
that fierce form. Or, a tank may be constructed in front of the
installed frightful form. By doing so, the violent force of that form
English Translation by Dr. S.P. Sabharathanam
Therefore, we may conclude, that one must avoid keeping the "Ugra-form" of deities like Kālī, Nṛsiṃha, Tripurāntaka-Śiva, etc. even within the community halls, let alone keeping such mūrtis in one's personal home.
There may be some exceptions to that effect like Ramakrishna Paramhamsa, etc., but exceptions don't dictate the generalized rules.