.NET Data Provider for Teradata system requirements states "Microsoft .NET Framework 2.0". You can use any tool/IDE as long it can load .NET Framework 2.0 assemblies and generate assemblies for .NET Framework 2.0.
Microsoft released .NET Framework 2.0 with Visual Studio 2005. Microsoft did not fix/patch Visual Studio 2003 to be comptaible with the .NET Framework 2.0. However, Microsoft did release a free version of Visual Studio 2005 called the Visual Studio 2005 Express (http://msdn.microsoft.com/vstudio/express/) .
Given the .NET Framework 2.0 requirements, .NET Data Provider for Teradata cannot be integrated with Visual Studio 2003 IDE.