my six line wrasse has lived his most of his life with clowns and angels. You don't mention substrate in your tank, but if you go bare bottom then don't go six line wrasse. Its always fun to guess where the wrasse will swan dive down to sleep in the sand. My wrasse also spits more sand than my old jawfish from years ago. TONS of personality in my wrasse but I do have to use turkey baster to clean sand from corals and rocks. I *LOVE* my 6 line wrasse!
Anytime introducing new fish, sizes & perceived territories matter. Your angel may have established 'territory' in your tank, so have mirror ready to hold on side of tank to distract angel from wrasse. Wrasse should be faster swimmer than angel, but wrasse will need time to find where to swim (not likely to hide) just to get away.