What time period do Protestants believe Hosea 3:4-5 is predicting?

Hosea 3:4-5 says that there will be a period of time that the children of Israel will have no king, nor sacrifices, nor *efod* or *terafim*. It also promises a restoration of Israel after this period: > כִּ֣י ׀ יָמִ֣ים רַבִּ֗ים יֵֽשְׁבוּ֙ בְּנֵ֣י יִשְׂרָאֵ֔ל אֵ֥ין מֶ֙לֶךְ֙ וְאֵ֣ין שָׂ֔ר וְאֵ֥ין זֶ֖בַח וְאֵ֣ין מַצֵּבָ֑ה וְאֵ֥ין אֵפ֖וֹד וּתְרָפִֽים > אַחַ֗ר יָשֻׁ֙בוּ֙ בְּנֵ֣י יִשְׂרָאֵ֔ל וּבִקְשׁוּ֙ אֶת־יְהֹוָ֣ה אֱלֹהֵיהֶ֔ם וְאֵ֖ת דָּוִ֣יד מַלְכָּ֑ם וּפָחֲד֧וּ אֶל־יְהֹוָ֛ה וְאֶל־טוּב֖וֹ בְּאַחֲרִ֥ית הַיָּמִֽים > For the children of *Yisra᾽el* shall remain for many days, having no king, nor prince, nor sacrifice, nor pillar, nor *efod*, nor *terafim* > afterwards the children of *Yisra᾽el* shall return, and seek the Lord their G-d, and David their king; and shall come trembling to the Lord and his goodness in the latter days (Koren T'nakh) What time period is being mentioned here? There have been a few times where there has been no king of Israel, which is Hosea referring to according to Protestants?