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No wonder the transformer got so hot - you were basically shorting it out.
Saying 6.3 volt heater load is meaningless. What is the current or resistance?
Since this load is so light, better to adjust calculations for 8.5 volts.
(8.5 - 0.55)V / 0.06A = about 130 ohms. Wattage = (0.06 * 0.06) * 130 = 0.5.
Use a 1 watt resistor to be safe. Carbon comp, metal film, wirewound. Makes no difference.
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