The Music Angel is a valve amp. Don't power this up unless it is connected to speakers. If you do power it without speakers you risk damaging it. It seems that there are several versions of this and that there are also quite a few out there which have been modified by enthusiasts
-800mkiii.html'>http://taooftubes.blogspot.co.uk/2012/01/music-angel- xD -800mkiii.html. But assuming it is in original condition and similar to the circuit shown on that webpage then it will have an input impedance of 200k and should therefore be suitable for feeding from a phono splitter. However it will be earthed (at least I very much hope it will !). So if the Teac is also earthed then going down the phono splitter route could result in ground loop hum.
The Teac is a solid state amp. You can run this powered with no speakers or headphones connected if you want - this should not harm it. So if you want to take the tape out option to feed the Music Angel and if this requires you to power the Teac then you could. But you still run the risk of ground loop hum (Music Angel will be earthed through its mains lead, Teac might be earthed through its mains lead, both amps will be connected together with a signal ground connection through the interconnect's screen).
As far as the hum is concerned I think you'll have to suck it and see.
VB