Starting at the beginning:-
A BTL, (Bridge Tied Load) works by having two identical amplifiers in which one goes positive with a positive input, and the other goes negative with a positive input (and therefore positive with a negative input!) That means that ignoring the -ve outputs, the two +ve outputs go in opposite directions, and therefore putting the loudspeaker load between them, means they provide twice the voltage (and therefore four times the power) of a single amplifier. Any stereo amplifier with balanced inputs (that isn't already a BTL amplifier) can be used bridged just by connecting the inputs in inverse polarity and putting the loudspeaker between the +ve terminals.
Regarding the load, each half of the bridge doesn't see the loudspeaker between its output and earth, it sees the loudspeaker between its output and its opposite, so drawing twice the current. Twice the current means each half of the bridge sees half the load, so with an 8 ohm loudspeaker, each half sees 4 ohms. If your loudspeaker has an impedance that drops to 5 ohms at some frequency, each half of the bridge will see 2.5 ohms. If each half is rated at 4 ohms, that could well overload the amplifier. Whether it does, depends to a great extent at what frequency the 5 ohm minimum is at. If at a few hundred Hz or below, then that's where the most energy in music is and is likely to be problematic. If the minimum is at, say 8kHz or above, then it's unlikely to stress the amplifier as there's much less energy in music at those frequencies.
The Hypex amp above is rated at 4 ohms minimum for BTL use, so should be OK with your loudspeaker. This means that in single-ended use, it should be OK down to 2 ohms which is impressive.
Hope this all makes sense.
S.