Hi,
Not my area of expertise but I'd probably just use gloves and remove her then fix the wire while she was out of the cage so that she cannot get back up there. Just don't use tape.
A hot glue gun would probably be your best bet but if it is a wooden enclosure then staples or those little wire clips might be an option.
All of this might have to be left for a day or so depending on how big a meal you fed her and how far through the digestion process she is.
If she is going up there for heat that might be something you need to adjust - but you could also put in removeable perches like those used for GTP's.
That way she gets to climb and perch but you can still remove her fairly easily if you need to.
But adding the perch might mean re-housing her for a couple fo days as I'm not sure a hot glue gun could be trusted with that amount of weight and silicon will need to be aired and cured before the animal could be put back in.
Again if it is a wooden enclosure then screws would be the answer.
If you cut shims you can mount the perch across a corner.
dr del