You will have to precipitate out the DNA from the lower, organic phenol-chloroform phase which contains both DNA as well as protein. The DNA may be precipitated out by the addition of ethanol, and the proteins may remain in the phenol-ethanol supernatant.
The paper attached below has demonstrated that the proteins isolated from samples stored as phenol-ethanol supernatants for up to 3 years at −20°C did not suffer from significant degradation as assessed by Western blot analysis.
The proteins may be recovered from phenol-ethanol supernatant by either precipitation or by dialysis, although the dialyzed pellets are significantly easier to solubilize and thereby result in better recovery efficiency. A combination of 0.05% SDS and 4 M urea in Tris-HCl, pH 8.0, will allow for complete solubilization of dialyzed pellets without apparent decrease in the integrity of the isolated proteins.
You may want to refer to the below attached article for more information.
Article Isolation and Solubilization of Proteins After TRI zol ® Ext...
After RNA extraction using Trizol, it is not recommended to store the phenol layer containing proteins without further processing. The phenol component in Trizol acts as a denaturant and can disrupt the native structure of proteins, leading to potential degradation and modification. Additionally, the guanidine isothiocyanate in Trizol can interfere with protein stability and function if the phenol layer is not processed promptly.