Hi ilanocf
In the PageLoad event you need to retrieve the css from database and write to the Header of the page using the style tag.
Please refer below sample.
I have refered below article for inserting data in database.
Save (Insert) and Retrieve (Display) TinyMCE contents from database in ASP.Net
HTML
<asp:TextBox ID="txtHTMLContent" runat="server" TextMode="MultiLine" />
<br />
<asp:Button ID="btnSubmit" Text="Submit" runat="server" OnClick="Submit" />
<hr />
<table>
    <tr>
        <th>Customer Id</th>
        <th>Name</th>
        <th>Country</th>
    </tr>
    <tr>
        <td>1</td>
        <td>John Hammond</td>
        <td>United States</td>
    </tr>
    <tr>
        <td>2</td>
        <td>Mudassar Khan</td>
        <td>India</td>
    </tr>
    <tr>
        <td>3</td>
        <td>Suzanne Mathews</td>
        <td> France </td>
    </tr>
    <tr>
        <td>4</td>
        <td>Robert Schidner</td>
        <td>Russia</td>
    </tr>
</table>
<br />
<div class="container">
    <div class="row">
        <div class="col-md-4">
            <img src="https://www.aspsnippets.com/images/Logo_new.png" style="background-color: #0090CB;" /></div>
        <div class="col-md-8">
            Welcome to ASPSnippets.</div>
    </div>
</div>
<link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.2/css/bootstrap.min.css" />
<script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/tinymce/4.0.20/tinymce.min.js"></script>
<script type="text/javascript">
    tinymce.init({ selector: 'textarea', width: 500 });
</script>
Namespaces
C#
using System.Data;
using System.Data.SqlClient;
using System.Configuration;
VB.Net
Imports System.Data
Imports System.Data.SqlClient
Imports System.Configuration
Code
C#
protected void Page_Load(object sender, EventArgs e)
{
    if (!this.IsPostBack)
    {
        AddCSS();
    }
}
private void AddCSS()
{
    string css = string.Empty;
    string conString = ConfigurationManager.ConnectionStrings["constr"].ConnectionString;
    using (SqlConnection con = new SqlConnection(conString))
    {
        using (SqlCommand cmd = new SqlCommand("SELECT [Content] FROM [HTMLContent]", con))
        {
            con.Open();
            css = Convert.ToString(cmd.ExecuteScalar());
            con.Close();
        }
    }
    HtmlGenericControl style = new HtmlGenericControl();
    style.TagName = "style";
    style.Attributes.Add("type", "text/css");
    style.InnerHtml = css;
    this.Page.Header.Controls.Add(style);
}
protected void Submit(object sender, EventArgs e)
{
    string conString = ConfigurationManager.ConnectionStrings["constr"].ConnectionString;
    using (SqlConnection con = new SqlConnection(conString))
    {
        using (SqlCommand cmd = new SqlCommand("INSERT INTO [HTMLContent] VALUES (@Content)", con))
        {
            cmd.Parameters.AddWithValue("@Content", txtHTMLContent.Text.Replace("<p>", string.Empty).Replace("</p>", string.Empty).Replace(" ", string.Empty));
            con.Open();
            cmd.ExecuteNonQuery();
            con.Close();
        }
    }
    Response.Redirect(Request.Url.AbsoluteUri);
}
VB.Net
Protected Sub Page_Load(sender As Object, e As EventArgs) Handles Me.Load
    If Not Me.IsPostBack Then
        AddCSS()
    End If
End Sub
Private Sub AddCSS()
    Dim css As String = String.Empty
    Dim conString As String = ConfigurationManager.ConnectionStrings("constr").ConnectionString
    Using con As SqlConnection = New SqlConnection(conString)
        Using cmd As SqlCommand = New SqlCommand("SELECT [Content] FROM [HTMLContent]", con)
            con.Open()
            css = Convert.ToString(cmd.ExecuteScalar())
            con.Close()
        End Using
    End Using
    Dim style As HtmlGenericControl = New HtmlGenericControl()
    style.TagName = "style"
    style.Attributes.Add("type", "text/css")
    style.InnerHtml = css
    Me.Page.Header.Controls.Add(style)
End Sub
Protected Sub Submit(ByVal sender As Object, ByVal e As EventArgs)
    Dim conString As String = ConfigurationManager.ConnectionStrings("constr").ConnectionString
    Using con As SqlConnection = New SqlConnection(conString)
        Using cmd As SqlCommand = New SqlCommand("INSERT INTO [HTMLContent] VALUES (@Content)", con)
            cmd.Parameters.AddWithValue("@Content", txtHTMLContent.Text.Replace("<p>", String.Empty).Replace("</p>", String.Empty).Replace(" ", String.Empty))
            con.Open()
            cmd.ExecuteNonQuery()
            con.Close()
        End Using
    End Using
    Response.Redirect(Request.Url.AbsoluteUri)
End Sub
Screenshot
Web Page with applied CSS from database

Inserted CSS in database
