Bromodomain and extra-terminal (BET) proteins are relevant chromatin adaptors involved in the transcriptional control of thousands of genes. Two tandem N-terminal bromodomains are essential for chromatin attachment through acetyl-histone recognition. Recently, the BET proteins members BRD2 and BRD4 were found to interact with the SARS-CoV-2 envelope (E) protein, raising the question of whether the interaction constitutes a virus hijacking mechanism for transcription alteration in the host cell. To shed light on this question, we have compared the transcriptome of cells overexpressing E with that of cells treated with the BET inhibitor JQ1. Notably, E overexpression leads to a strong upregulation of natural immunity- and interferon response-related genes. However, BET inhibition results in the downregulation of most of these genes, indicating that these two conditions, far from causing a significant overlap of the altered transcriptomes, course with quite different outputs. Concerning the interaction of E protein with BET members, and differing from previous reports indicating that it occurs through BET bromodomains, we find that it relies on SEED and SEED-like domains, BET regions rich in Ser, Asp, and Glu residues. By taking advantage of this specific interaction, we have been able to direct selective degradation of E protein through a PROTAC system involving a dTAG-SEED fusion, highlighting the possible therapeutic use of this peptide for targeted degradation of a viral essential protein.